Thinking of Moving from Chicago

Hi all, my family (myself, husband, and one year old daughter) are thinking of making the move from Chicago to Connecticut (specifically around the New London/Mystic area).

I am visiting this summer, but I personally have never been but my husband (and daughter) have family and a lot of support in the area. Is there anything I need to know before we start seriously planning on this move? We are going to wait on a job offer for my husband and that will inform the when. I am a public librarian with a decade of experience at both suburban and big city libraries and hopefully it will be easy for me to fina a job once we are looking to make the leap.