There’s also a station at TF Green Airport I’m Warwick. Check out Cranston, Warwick, West Warwick. The train only stops there about half as often as Providence but if it lines up with your schedule then it’s quick and easy to get to via car and has on site parking in a garage. Also a roof on the platform so in bad weather you’re not getting drenched waiting for your train. Not really up on the schools as I don’t have kids of my own but there’s some great neighborhoods for families all within a 15 minute or less drive from the airport train station. Also only 10-15 to get into Providence for all the city amenities. Cumberland and Lincoln are within driving distance to take the train out of Attleboro too, my mother did that for years when she lived in Lincoln and worked out in Boston. The Cumberland/Lincoln area is much more suburban also if that’s something that’s important to you