I’ve attached my towns laws regarding chickens
This helps clarify. Sounds like you can have a few chickens in your backyard as long as your flock and coop/run is small and low to the ground. I would look at (and take photos of) your back yard and decide where you want to position your coop and run based on the 15 feet from property line rule. Once you decide this, approach the building department to learn of their requirements and then we can help you draw up a plan or review yours!