Eat the offal, connective tissues, skin and cartilage... all of it.
Simmer the bones - I simmer mine for 3 or 4 days at about 140 - 150 degrees. Though I will do this with all bones... my favorite are beef joints and marrow bones... they make a very nutritionally dense, deep, dark, rich, *jello*, with about 20% fat.
I use this then for sauces, soups, stews and to cook grains in.