There are a million places that are wonderful you could choose. Where is a place you always thought would be nice to live in? Start with researching that.
I've never been to Connecticut, but I've been all over Rhode Island (which I loved!!!), and Massachusetts which was ok, but didn't blow my socks off. Lot's of easterners and New Englanders are moving to North Carolina and it is a gorgeous state, but I think the influx is pretty big right now and it may affect class sizes in parts of the state, etc. You could also try the Midwest.
I'm a transplanted Midwesterner now (used to be Californian born and bred
) and if I had a family, I'd raise kids happily where I am. I live out in the country and one neighbor has 7 kids from 7 to 19 years old and they walk in single file just like the Partridge Family! Then the two kids across the road, super well behaved good kids. They all have fun out in the fields and woods.
I'm sure you'll find your spot, just start with researching those places first you always thought..hmmmm....about.