Sorry I haven't responded sooner. I don't get the chance to log in very often any more.
So, it helps if your property backs up to a green space (not that I know anything about that
). If your closest neighbors are easy-going and don't look for things to complain about, that helps. I don't think there's any way to be totally under the radar, though, because there will always be a time or two (or more) that your girls want to announce to the world that they've laid an egg.
That being said, there are some breeds that are louder than others. I would stay away from Leghorns. I hear they're pretty vocal. My Rhode Island Reds get pretty loud, too. The quietest birds I have are my Salmon Faverolles, my Brahma, and my Silver Laced Wyandotte. Maybe a lot of the Bantam breeds are quieter, but I don't have any experience with those. There are some great books and magazines that describe breed personalities. Try googling "Best chicken breeds for backyard flocks". You might get more info that way, too.
Keeping as few as four chickens and building a smaller (covert) coop helps, too. Do you have a privacy fence around your back yard? That'll help discourage spying eyes.
I actually googled this a couple of years ago.
There is a lot of advice and ideas out there. (Not that I know anything about any of that.)
Good luck. Hopefully you'll have great neighbors that won't care as long as you keep things clean.