Yes U Haul does install Trailer Hitches on your vehicle.
Some U Haul places may not install trailer hitches but some U Haul places do install trailer hitches.
U Haul will install a custom trailer hitch for your vehicle that will be safe and ready for you to tow a trailer.
The cost of U Haul installing a trailer hitch is around $100.00 to $150.00 plus the cost of the trailer hitch.
So you might be looking at $200.00 to $400.00 for the cost of the trailer hitch as well as the labor for the trailer hitch to be installed.
You will have to buy the trailer hitch and not rent it because you really don't want to remove the trailer hitch from the vehicle anyway because you will likely tow a trailer again.