My ordinances in my area (I'll never tell!) say that we are not allowed to have chickens. I agree with Stake, ask your neighbors. I talked to all of my neighbors who share a fence and property line and they were all okay with it once they were assured there would be no roosters and not much noise. I actually just discovered a few weeks ago someone down the street already has chickens, maybe 6 houses down!
Sounds like it high time for a high fence! Just a tip, my fence is 3 or 4 feet high and my girls can clear it easily. One day I found a chicken on the hood of my car! Not quite the hood ornament I had in mind... And do use caution and introduce you chicks/chickens to your pitbull carefully. Aurora had a sad encounter and this is her second batch of chickens.
We worked with our dog and people are always amazed that my chickens free range and the dog runs around freely as well. I'd love to visit when you get yourself situated, and you are welcome to visit here if you as well!