CT is a very easy state to homeschool in, legally speaking. The law is "educate your child," and you have the option to comply or not comply with their "suggested guidelines" for notification (most people that I know choose to opt out). There is a good-sized group on Yahoo called CT Homeschoolers Inclusive, and one in the greater New Haven area called GNNH. Those are both inclusive/secular groups.
Good luck with your move, wherever you end up!