Certain breeders choose pairs specifically so their children will have a chance of being a special color, or might posses a rare ability. But you'd need to find or borrow very specific Pokémon to achieve that, so it's not the best goal for a test clutch.

[It is also, admittedly, not a part of breeding Cecil understands much, so he has hardly any advice to offer about it.]

As far as movesets go, are you aiming for specific moves, or do you simply wish for the child to have as many as possible? Depending on your answer and the species you want to breed, I'll have a better idea of which Pokémon to recommend.