I suggest you stay close to family - Nothing like having family to lean on when you change your entire world - And believe me, moving from CT to SC will change your entire world!! (For the better).
I cannot overemphasis that you travel here to FIRST find jobs. Not the idea of a job, but an actual job with a start date. SC ain't CT when it comes to jobs. When I lived in NJ, a new job was a easy to find as walking down the street to any of the many firms. Here in the south, the jobs tend to be fewer and further apart. BTW: $15 / hour is a GREAT job (for un/semi skilled).
Your wife should do well as a Nurse. Not sure what Property Management means, but if you can turn that into your own company, you might want to give it a try.
Don't let yourself get fooled by the lower house prices - At first, you'll think that they are giving the homes away (compared to CT prices). But eventually, you will learn how much a house here is actually worth, and more importantly, can be resold. So, find they home you want: Don't spend more money than you should because the houses are so cheap...
You may have to consider private school for the kids depending on the quality of the schools in your town. Again, this ain't CT....
But definately, GET THE HELL OUT OF CT and never look back!!!!!
-Mike