I agree with the previous poster; start with fewer birds (three is a nice number to start with) and see how it goes. The more crowded your chickens are, the more work you're going to have to do to keep things clean enough for health, and the more chance you have of chicken squabbles.
Depending on your need for eggs, you could also think about getting bantams. Their space requirements are less (although I wouldn't put more than 3 bantams in a 32 foot square run, either). Their eggs are smaller (although not in proportion to their smaller size). We have four very small bantam hens (Serama hybrids) and they provide us with all the fresh eggs we need for our small family of three. The little eggs are very rich (more yolk, less white than a standard egg) and very tasty.