I did ome reading and it said that you can get stronger and stronger Pokemon by breeding.
I also read that you can mix two Pokemon like phyduck and mienfoo to create a... Phyfoo!
Can you please clear this up a bit for me as I am confused?
Well first off, if you breed two Pokemon together you won't make a new Pokemon.
They get stronger because when you hatch the egg, the IVs get passed down to the Pokemon.
Read this site for all the info, because there is too much too write.