I've only hauled one vehicle and it was that new blazer, so I can't speak from experience, but here is my opinion any way!

I think chain's and binders on the axles and straps holding the suspension down.

I personally don't want the load moving on the trailer at all. The chains shouldn't loosen up and should be plenty strong holding the vehicle to the trailer if you get in an accident.

Straps holding the vehicle down takes the sway out of the suspension. Have you ever seen a trailer start to fish tail and the trailer suspension start to cycle, and then suspension on the car on the trailer start to sway with the trailer and amplify the problem? Thats what I want to prevent.

So 2 chains and binders tight on the axles and 2 straps snugging the suspension