You will need a good trailer, chains, straps and insurance. You most likely will need a 3 or 4 car trailer to make it worthwhile. Be aware of health card, and CDL requirements, depending on the weight of your rig! You also have to keep logs, and are limited in the number of hours you can drive!
You can either contract with local dealers to transport cars to and from auctions, and if it is a large dealer group, between dealership locations, or you can book your loads through a company.
Most car transporters use Central Dispatch to find loads.
If you are going to do long distance hauling, allow for the cost of lodging. If you have a sleeper in your truck, you can sleep and shower at truck stops, to save a bit, but after a couple of days in a 1 ton truck, you are going to want to sleep in a real bed!