On looking a little deaper..........
A receiver hitch may cost $150 to $200 with install extra. Wiring to trailer I'm not sure. U-Haul does sell and install this equipment.
Their website states the weight of these 4 X 8 trailers as 850 lbs. With a folding Cot inside it you could sleep in it. storing goods under the Cot in boxes. Just depends on how much stuff you have to stow in the trailer.
U-Haul website 4 X 8 Trailer
Although Honda states that it doesn't recommend towing with the Civic in the owners manual.....it may be more with concern to the vehicle's warranty. With 90K miles it would likely be past warranty now. And if you are wanting to only go one way...south to relocate....you may not tax the Honda that much.
The "Driver Adviser" website reviews the Honda Civics towing capability.
Driver Adviser Towing with the Honda Civic