I'm planning to do something similar. After lots of thinking, here's what I've decided to do. I wanted to make sure I address the most likely complaints ahead of time, including the attractiveness of the coop, the noise and smell, and the welfare of the chickens. So, I'm going to build a 6 foot high wood privacy fence (properly permitted, of course) and then construct an 8x8 garden shed (properly permitted) that will have a couple of windows and some ventaliation vents along with a chicken door and an 8x8 run. (I'm only planning on 5 chickens, max.) The plan is for everything to be very attractive and equally functional for other purposes which will help fight against any neighbor complaints. The shed and run would also work as a dog kennel or the run could be taken down pretty easily and the shed could be used as a garden shed so there would be no impact on property values. I've also gotten the approval of the neighbors on either side and am currently researching the laws in my town about appealing violations, how to handle neighbor complaints, and how to propose things to the city council in case I am reported and told I have to get rid of my chickens.
I'm hoping, first of all, that no one has any complaints, but if they do, I'm hoping to show that my chickens are well cared for in an attractive, non-smelly way and I'm willing to work toward the goal of relaxing the current ordinance about chickens in my town, which is that they have to be at least 250 feet from the nearest house. That really means you can't have chickens except on a very few lots. I remain convinced that if people really knew how sustainable having chickens is, how much more nutritional their eggs are, and understood that they don't have to be noisy and smelly that my chickens will be welcome in my neighborhood. My motto is - Laws don't change because people obey them. Laws change because people DON'T obey them.
I'll keep y'all posted on how things work out...