Well you need to keep your pit bull on a leash because you have by law what is classified as an "aggressive" breed. Contrary to popular beliefs, the Doberman Pinscher is not an aggressive breed and doesn't even make the top 10 list for breeds that bite. You will find, however, the pitbull, GSD, dachshund, beagle, chiuahuah, Rottweiler, dalmations, Australian cattle dog, Labrador, and many other "family dogs".
I have home insurance through USAA who lists 9 dogs as uninsurable under their homeowners insurance policy. Pit bull is on the list, Doberman is not.