Jason there is a limited list here on BYC on cities and towns that allow it. 1 way to find out is either from a pay phone or pre-paid cell phone (and do not give your name or address) and call the local zoneing office for the city or town you live in.
My city needed the house address to say if chickens were allowed. It depended on the exact property's zoning. I was a touch bit stressed to give them my address but I knew it would be really hard to hide the chickens anyway in our small town. I even thought about giving them my neighbor's address but around here everyone knows someone and it would have come out in the end.
What I did do was to say I wanted the chickens as a learning experiment for my children. That was completely true and yet it did not give the impression of having chickens forever. But after investing as much money in chickens as I have, they are sticking around for a long time.