Thanks for your response! Our thinking was kind of like yours. We don't want to make it seem like we are asking for permission from the neighbor. In the end, we will do what we want on our property (law permitting). I watched youtube videos of hens laying their eggs and "singing". Does that become noisy? I find my neighbor's singing in her yard offensive- we can make it even.
naptown chickens sells a coop with run for backyards. There are coops on amazon too but a thing to think about before buying any coop is what will you do with the chicken litter. We use deep litter and most pre-made coops don't accommodate deep litter.
But the cheapest way to get started is to re-purpose a shed and make your own run. Hens can be loud but I would say almost any dog is just as loud.
On a different topic, we are selling our couch. If anyone here is interested, please message me. It is a green / tan plaid. It is in great shape.