Breeding for egg moves

When you have access to Dendemille Town, Sycamore will approach you beside a house. That house, which is near the Pokemon Center, is the house where the Move Deleter is. Talk to him and he will delete one of your Pokemon's moves.

If you equip a Lucky Egg to a Pokemon, the gained experience from EXP Share will be affected by the egg.

For an example, if a normally the participating get 100 exp and the non-participating Pokemon will get nothing, without EXP share...

In Gen 6, with EXP Share on, instead of splitting^[1] the exp amongst everyone, the participating Pokemon would get 100 exp (with no Lucky Egg, the yield 100% of the total exp gained for each participating), while another non-participating Pokemon (with no Lucky Egg, the yield 50% of the total exp gained for each non-participating Pokemon).

Giving the participating Pokemon a Lucky Egg (adds 50% exp), will yield them 150% or 150 exp [100 + (100*.5)], and giving the non-participating a Lucky Egg they will get 75%, or 75 exp [50 + (50*.5)].

A = Participant
B = Non-participant
C = Non-participant
+ = Lucky Egg

No EXP share, no Lucky Eggs:

A = 100%
B = 0%
C = 0%

With EXP Share, no Lucky Eggs:

A = 100%
B = 50%
C = 50%

With EXP Share, two Lucky Eggs (x1.5):

A+ = 150% (x1.5)
B = 50% (x1)
C+ = 75% (x1.5)

_{¹ The item Exp. Share will revert to Exp. All as in Generation I, where when one Pokémon holding this item participates in battle, all other Pokémon in the team receive experience as well. Unlike in Generation I, the experience is not split but rather received by all Pokémon. This means that the participating Pokemon receive 100% experience, while non-participating Pokémon receive 50% experience. Source.}