PastaChickenBoo - there are others who can better answer your question than me. My basic understanding is that it depends. As I understand it there is nothing illegal about having chickens. The problem lies with having a coop. The coop needs to be 100 feet (I'm not sure about the actual distance) away from the neighbor's house. And, believe me, I'm very much simplifying here.
With that said, if you want to have chickens and are unsure if it is legal, get a buy in from your neighbors. I live in DTSS and by what I've read I'm not legal. However, I asked all my neighbors and none had an objection. In fact, they love being able to look out and see chickens and some them throw food out for them. Complaints from neighbors, legal or not, will not go well.
Animal control, I don't believe, actively go out and try to enforce the rules unless there is a complaint. I had animal control come out for a raccoon once and they clearly saw my setup. They didn't say one thing about the chickens and, instead, blamed me for the raccoon because of the wild bird feeder. While you may not be so lucky on getting such an uneducated animal control officer some people have complained about overzealous officers.