I am in San Antonio and the law is three "fowl" in the backyard. I had read this years ago on the county website and when I went to puchase my chicks (first time owner) this year the guy at the feed store assured me I could have twelve..Hey, maybe the city changed the law, right? LOL. So I went ahead and got twelve.. no, just kidding, I got four, just in case I was closer to being right then the feed store guy.. Turns out I was right, three chickens are allowed. So, I am kinda in your boat, except I have hateful, hateful neighbors, who are sure to complain. I am HOPING that they will not be able to really tell that I have four, as they are two buffs and two red sex links and at least the two buffs really look alike... but just in case, I aske a friend who lives in the country and has pet chickens to be my backup if I needed to get rid of one. She agreed, and also offered to help if one should turn out to be a rooster... she is a GOOD FRIEND...
So my suggestion is to try it, but have a backup plan.