[MAG]

In the past I have called ahead to reserve a UHaul Car Hauler, one way. That saves fuel. UHaul equipment is usually very dependable and the correct equipment to tie down the vehicle is present. As has been suggested, check tie down straps frequently. With a good tow vehicle I think you will be fine. Done it lots of times.
For what it's worth,.... don't try to start the engine until you have done the proper inspection as has been suggested.