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Whether it be learning a new move, forgetting an old one, relearning a move, or some combination of the aforementioned the management of your Pokémon's moves is important. We're now accustomed to seeing several types of non-playable characters ingame that allow for us to handle these tasks.

In HGSS we still have the Move Relearner, Move Deleter, an Elemental Beams Tutor, a Headbutt Tutor and three more tutors in the Frontier Front. Let's look at them more closely.

Getting Headbutt in Ilex Forest

Make your way passed the Ilex Forest Shrine and then to the north-east. When you can, head south and you'll meet up with a man who will teach a large of Pokémon the move Headbutt. With its returning use ingame, see here for more, its worthwhile to make a visit here at least once. For a complete listing of Pokémon with this move available to them, see here.

Blackthorn City Move Masters

In Blackthorn City, in a house located to the direct left of the PokéCenter, you will find a group of four people who have all mastered some technique regarding moves.

The man of the left is the Move Deleter, who will delete any HM learned by Pokémon that no longer needs to use it.

Next to the Move Deleter is the Move Relearner, who, for the price of a Heart Scale, will reteach a move to a Pokémon that has forgotten (or in some cases never learned) it. This is especially useful for Pokémon like Magmortar whom have new moves available to them, for instance Thunderpunch, when evolving but can only learn them with a Heart Scale. To get Heart Scales in HGSS you will need to use Rock Smash at the locations provided on the page in that previous link.

The Elder Lady, second from the left, will teach any Dragon type Pokémon the powerful move, Draco Meteor.

Finally, there is the Elder Man on the far right. He will teach a starter Pokémon from any region an elemental beam move specific to its type. With the single exception of Smeargle, these moves can only be learned by a starter Pokémon and it must have very high happiness.

Move	Type	Class	Power	% Acc.	% Eff.	PP
Blast Burn			150	90	0	5
	The foe is razed by a fiery explosion. The user must rest on the next turn, however.
Draco Meteor			140	90	0	5
	Comets are summoned down from the sky. The attack's recoil sharply reduces the user's Sp. Atk stat.
Frenzy Plant			150	90	0	5
	The foe is slammed with an enormous tree. The user can't move on the next turn.
Hydro Cannon			150	90	0	5
	The foe is hit with a watery blast. The user must rest on the next turn, however.

Battle Frontier Tutors

The last group of move experts are located in a house in the Frontier Front, just south of the PokéCenter outside of the Battle Frontier. With the Battle Points that you have earned that you will be able to exchange them for moves taught by each of the three men residing here. The moves they each teach, the cost, and who teaches what can all be found in the table below.

Cost	Move	Type	Class	Power	% Acc.	% Eff.	PP
32 BP	Bug Bite			60	100	0	20
		If the opponent is holding a berry the user instead eats the berry and gains its effect.
32 BP	Fury Cutter			10	95	0	20
		Power is doubled for each successive use of this move (max power = 100 or 5 successive hits).
40 BP	Dive			80	100	0	10
		User disappears first, evading all incoming attacks and then attacks on the second turn.
40 BP	Knock Off			20	100	0	20
		Opponent's held item is made ineffective for the duration of the battle.
40 BP	Sucker Punch			80	100	0	5
		Goes first. Fails if the opponent does not also use a damage dealing move this turn.
48 BP	Air Cutter			55	95	0	25
		Has a +1 stage chance for Critical Hit (12.5%).
48 BP	Icy Wind			55	95	100	15
		Has a 100% chance to lower the opponent's Speed stat 1 stage (/1.5).
48 BP	Ominous Wind			60	100	10	5
		Has a 10% chance to boost all of the user's stats 1 stage (x1.5).
48 BP	Trick			0	100	0	10
		The user and opponent switch held items until the end of the battle. If user is not holding an item, then the effect is similar to using Thief/Covet. If the user has an item and the opponent does not, then user will hold no item while the opponent gets the item user was holding. This effect will fail against Pokémon with the abilities Multitype and Sticky Hold.
48 BP	Vacuum Wave			40	100	0	30
		Goes first.
64 BP	Fire Punch			75	100	10	15
		Has a 10% chance to inflict the opponent with the burn status effect.
64 BP	Ice Punch			75	100	10	15
		Has a 10% chance to inflict the opponent with the frozen status effect.
64 BP	ThunderPunch			75	100	10	15
		Has a 10% chance to inflict the opponent with the paralyze status effect.
64 BP	Zen Headbutt			80	90	20	15
		Has a 20% chance to inflict the opponent with the Flinch status effect.

Cost	Move	Type	Class	Power	% Acc.	% Eff.	PP
32 BP	Bounce			85	85	30	5
		Flies up on the first turn and attacks the second turn. Opposing attacks will miss while the user is in the air. Has a 30% chance to inflict the opponent with the paralyze status effect.
32 BP	Gastro Acid			0	100	0	10
		The opponent's ability is made ineffective until it leaves/switches out from battle. This effect does not work on Slow Start in Diamond/Pearl/Platinum but does work in PBR.
32 BP	Gunk Shot			120	70	30	5
		Has a 30% chance to inflict the opponent with the poison status effect.
32 BP	Low Kick			1	100	0	20
		The heavier the opponent the more damage this attack will do (max power = 120). Weight Range = Base Power 0 to 21.9lbs = 20 BP 22 - 54.9lbs = 40 BP 55 - 109.9lbs = 60 BP 110 - 219.9lbs = 80 BP 220 - 439.9lbs = 100 BP 440lbs+ = 120 BP
32 BP	Mud-Slap			20	100	100	10
		Has a 100% chance to reduce the opponent's Accuracy by 1 stage (/.75).
32 BP	Rollout			30	90	0	20
		Power doubles each turn this move is used in succession without missing. The counter resets after 5 turns (max power = 150). If Defense Curl is used the turn before Rollout then Rollout's power is doubled for the first turn.
40 BP	AncientPower			60	100	10	5
		Has a 10% chance to boost all of the user's stats 1 stage (x1.5).
40 BP	Aqua Tail			90	90	0	10
		No added effect.
40 BP	Earth Power			90	100	10	10
		Has a 10% chance to lower the opponent's Special Defense stat.
40 BP	Iron Defense			0	100	0	15
		Boosts the user's Defense 2 stages (x2).
40 BP	Iron Head			80	100	30	15
		Has a 30% chance to inflict the opponent with the flinch status effect.
40 BP	Seed Bomb			80	100	0	15
		No added effect.
40 BP	Signal Beam			75	100	10	15
		Has a 10% chance to inflict the opponent with the confusion status effect.
40 BP	Super Fang			1	90	0	10
		Inflicts damage that removes 1/2 of the opponent's remaining HP, dealing a minimum of 1 damage.
40 BP	Twister			40	100	20	20
		Has a 20% chance to inflict the opponent with the flinch status effect.
48 BP	Heat Wave			100	90	10	10
		Has a 10% chance to inflict the opponent with the burn status effect.
48 BP	Outrage			120	100	0	15
		The user attacks for 2 or 3 turns and then becomes afflicted with the confusion status effect.
48 BP	Superpower			120	100	0	5
		After inflicting damage the user's Attack and Defense and reduced 1 stage (/1.5).
64 BP	Endeavor			1	100	0	5
		The opponent's HP is lowered to be equivalent to the user's current HP. Will not work if user's HP is greater than the opponent's.
64 BP	Pain Split			0	0	0	20
		The current total HP of the user and opponent are added together and divided by 2. Each Pokémon gets half of the total HP that was found by adding their HPs together.
64 BP	Sky Attack			140	90	30	5
		First turn the user charges and the second turn the user attacks. Has a +1 stage chance for Critical Hit (12.5%). Also has a 30% chance to inflict the opponent with the flinch status effect.

Cost	Move	Type	Class	Power	% Acc.	% Eff.	PP
32 BP	Block			0	100	0	5
		The opponent cannot flee from or switch out of the battle.
32 BP	Gravity			0	0	0	5
		Flying and Levitating Pokémon are susceptible to the attacks of Ground type attacks for 5 turns. If the opponent is using one of the following moves: Bounce, Fly, Hi Jump Kick, or Jump Kick
32 BP	Magic Coat			0	100	0	15
		Goes first. Any effects the opponent would target at the user are instead redirected back to the opponent.
32 BP	Snore			40	100	30	15
		This move will fail unless the user is afflicted with the sleep status effect. Has a 30% chance to inflict the opponent with the flinch status effect.
32 BP	String Shot			0	95	0	40
		Reduces the opponent's Speed stat 1 stage (/1.5).
32 BP	Worry Seed			0	100	0	10
		Change's the opponent's ability to Insomnia. Fails if the opponent's ability is Multi-Type or Truant.
40 BP	Helping Hand			0	100	0	20
		Goes first. User's ally's next move inflicts 50% more damage than normal.
40 BP	Magnet Rise			0	0	0	10
		The user's ability is changed to levitate to avoid type attacks.
40 BP	Spite			0	100	0	10
		The opponent's last used move has its PP reduced by 2-5 points.
40 BP	Swift			60	100	0	20
		Cannot miss.
40 BP	Synthesis			0	100	0	5
		The amount of HP restored to the user varies with the weather. Sunshine: 100% HP restored. Rain: 25% HP restored. Hail: 25% HP restored. Sandstorm: 25% HP restored.
48 BP	Heal Bell			0	100	0	5
		Heal's the user's team of all status effects. Pokémon with Soundproof are not healed.
48 BP	Last Resort			130	100	0	5
		The user must have used all other known moves at least once before using Last Resort. If this move is the only known move it will fail; Minimum known moves is 2.
48 BP	Role Play			0	100	0	10
		User replaces it's ability with opponent's until it leaves battle. This effect does not work with the ability Wonder Guard.
48 BP	Tailwind			0	0	0	30
		The user's ally's Speed stats are boosted 2 stages (x2) for the following 3 turns.
48 BP	Uproar			50	100	0	10
		Any Pokémon is prevented from being afflicted by the sleep status effect. This effect will work even if the opponent is of the Ghost type. The user is locked into using this move for 2-5 turns.