I dont do rare balls, i think its pointless. I do however do egg moves, but not all pokemons have 4 egg moves even worth touching, however i do have 4 EMs on some of my breeds.
Aipom, Fake out,switcheroo,quick guard,pursuit
lucario, bullet punch,high jump kick,crunch,blaze kick
sandslash, Night Slash,Flail,Counter,Rapid Spin
thats the ones i know from what i have that i have personally bred.