I wouldn't worry too much about the noise from your neighbors bothering the chickens. Our chickens started indoors and were handled a lot before moving them outside. They also would come with me when I did yard work and weeding. The first time I used the lawn mower, I made sure they were in their 'fenced' run area. They weren't too concerned. So I let them out. They have been so used to me doing stuff in the yard, I think they figured my noise maker wasn't a threat if I was the one using it. Later when we used our wood chipper, they weren't phased with that either. Or the pressure washer. Occasionally a noise truck will drive down our street. I think it bothers our cats more than the chickens.