Once you decide on a trailer. You will have to consider upgrades.

I drove flatbed tow truck for 5 years. Secured the cars on the bed with chains, wheel straps through the rims and wheel straps. Holding the car by the frame is the worst thing you can do to a car. It feels solid but when that bed or trailer hits bumps it will bang into the chains and oval out holes. If the car dips on the suspension, all good. When it extends up, it will smash into the chains so hard dirt and rust will be sitting on the bed to prove what happened.

E tracks to secure all 4 tires is the best method. Have 3 fail and the car will still be there. This is how all the manufacturers tow the new cars.