[Motor31]

You are looking at a GVW of 20,000 lbs for that trailer. There isn't a one ton made rated for that load. As already noted you will need a minimum of a 4500 / 450 (depending on brand) to tow legally and safely. Just getting it moving is not the end all of towing. Even a half ton will "move" it but it will be neither safe or legal.

You can look at the normal Detroit brands or at a medium duty truck. In either case it's not going to be cheap for new. I'd suggest looking for a used unit as there are folks bailing out of the RV world now and you should have several to choose from.

Some of us also use a heavy duty truck like a retired semi but that is really only viable for the full timer. It can be far cheaper in the short and long run however if you are going full time. It's more truck than you need but the economics of it can be very inviting.