Car trailer
A car trailer is a trailer you tow yourself so the shipped car rides with all four wheels off the pavement. You drive, fuel, and insure that trip. Hiring a carrier means someone else hauls the car under that company's authority.
A car trailer, sometimes called a pull-behind or an auto transport trailer in rental ads, carries the whole car. You need a tow vehicle that is rated for the loaded weight, a hitch that matches, and a legal way to brake the trailer. The weight rating is on the trailer and in the tow vehicle's manual. Do not take either number from a forum.
What you take on
You are the driver. Hotels, fuel, tolls, a blowout, and a ticket are yours. Ask your insurer whether the trailer and the car on it are covered. The rental contract sets the deposit, the mileage rules, and what happens if the trailer is damaged. None of that is a carrier's bill of lading.
How it differs from hiring a carrier
A carrier is a company with operating authority and a truck. You hand over the keys and meet the car at the other end. A trailer rental is you, for the whole distance. RideShipper compares hired transport. It does not rent trailers or decide whether your vehicle can tow.