re: I'll break the ice: Pokémon X and Y

Got almost an entire box full of eevee pups now, lol, those things breed like rabbits!
What do the little icons above the Pokemon move list in the summary for each pokemon stand for? They are like a star, heart, square, circle, diamond, etc. Most of them are grey, but I have a few pokemon who have some of the icons black instead of grey.
Also now have male and female of each of the current and original starters, if anybody needs a bulbasaur or squirtle or charmander or fennekin or chespin or froakie, just let me know. =)