I choose based first on looks, then egg uniqueness, color and shape, then dual uses, since i butcher the extra roos.
I have alot of different kinds because I have chicken greed.... but if I had to pare it down to less for some reason I would keep;
my many different colored and even frizzled cochins and silkie bantams because they are beautiful and have wonderful personalities and their chicks sell great,
my buff orpingtons because they are so sweet and the classic looking chicken, and I breed them for selling chicks and to raise for meat,
and my easter eggers and ameraucanas for their beautiful eggs and cute muffy faces, I also raise them for selling chicks and meat.
and probably the barred rocks because they lay eggs so consistently, their eggs make up the bulk of the eggs I sell, enabling me to keep my green eggs and bantam eggs for my and my families own uses.
sister claims all of the ones I don't breed, and won't let me sell them as they are too cute. Including; sebrights, different old english games, some brahmas a quail danver, a few duccles and a few mixed breeds I hatched. We share a yard and share our chicken projects, though I am in charge of housing and most of the cost, she does alot of the daily feeding and care since I have fibromyalgia, theres days Im not able to go out there.
Heres just a few pics of my birds