I'd be less worried about the technical issues and more worried about them trying to bill you for the equipment...
I'm guessing you have TWC. When I moved, the guy who lived in my new place before transferred his cable service into my name and I kept his equipment. I brought my old equipment back to the TWC customer "service" center. You may want to look into doing that if possible.
Since the equipment is registered by serial number, if you cancel your service at your current location, they're going to want the equipment back. You can try calling and asking them if you can take your equipment with you, but I wouldn't put too much faith in getting straight answers from the trained monkeys they have answering their phones.