Punta Gorda is on the southwest coast of Florida. If you like the beach and year-round hot weather you will like Southwest Florida. But please don't move to Florida thinking it is a paradise. Florida has plenty of problems, just like Connecticut.
I suggest that you talk to your family members who live in Punta Gorda. Then come for a visit to see how you like it. Talk to the locals in the area where you want to live. Read the local newspaper every day to get a sense of what is going on in the area. Go online and check out the housing listings to get an idea of how much the type of house you want will cost. In other words, do your homework to be sure that this is the right move for you. If you move here and then decide you don't like it, you will have made an expensive mistake.