Travel nursing is a whole other world and there's TONS you'll learn. Let me start by saying I don't travel yet, but that is my goal and what I'm working towards now. Getting my experience in so I can hit the road! So I'll try to answer some of your questions and hopefully the seasoned travelers can chime in and add or correct as needed.
Don't see any reason why you couldn't make your plan work. It will take a while to build up your travel resume until you're at the point where you can pick and choose when/where you want to go, based on availability of jobs in the area. You might not be able to find work in a certain city in CT but maybe an hour or two away from your folks, which would be closer than Texas! Call me naive but again I don't see why you can't make it work for you and your family.
The pay can vary greatly and depends on a lot of different factors. It seems that some areas of the country pay much better than others. Southern US states = less pay; not a rule but seems to be the trend.
Some people let the agency secure & pay housing for them, some folks opt to get reimbursed for housing therefore they find their own digs. If you're traveling with kiddos it might be a better option to find housing on your own.
When I started digging in depth last year I called a couple of agencies at random to ask questions. They were all very nice but some more willing to talk than others. Have your questions prepared ahead of time and know specifically what you want to ask.
In the past few weeks I've work with 3 travelers (all about 5 years traveling experience) and they have about the same things to say: they work with specific recruiters they like (from a few different companies), they decide what area of the country they want to go to next and they've had no trouble finding work. One has worked mainly in the southern states, one pretty much works only in Texas, and the 3rd has been all over the country.
There are a few helpful books you can download or buy - search Amazon
. I bought Highway Hypodermics and found it a good starting point. Check out pantravelers.org. Spend a few hours reading previous posts here. Subscribe to posts that have info you want to keep updated on.
Really spend some time doing a lot of in depth research then come back and ask more specific questions. Just be prepared that when you get one question "answered" it leads into 20 more questions. Happy reading!!! ;-)