Hey there. Chains or 2 inch straps are very exceptable for transporting a car. What are you able to connect to on your car? Frame? If needed j- hooks to fit into the slot of frames work great!! I highly approve straps over the tires as well. Being a wrecker driver in the past I like to cross my chains/ straps as that way you are pulling the vehicle both directions. Always use at least 3 chains or straps or a combination for the load you have provided.
Straps need to be 2 inch IMO and will have a breaking strength of 10,000 pounds/ working load of 3,300. I just bought double j hook straps at menards 25 foot two inch for 10$ !!!! Smart strap brand.
Chains - must use grade 43 or grade 70 in 5/16 or 3/8 or a combination for the two is a very acceptable idea. Binders can be expensive but can be had at tractor supply or menards for a good deal! If connecting chains together you must use only certain connections as "temperary links" void the strength of the chain in the eyes of the dot officer.