We live in a subdivision. Neighbors would not take too kindly to gunfire.
That’s too bad. We sometimes set live traps, and haul them out to our property about 15 miles away and release them into the woods there.
Some people have posted that they prop a board halfway over the top of a container of water with bait on the end in the middle. That way when the squirrel gets close to the bait he is dumped into the drink. Seems a little inhumane.