Yeah. I'd suggest getting a hitch rack. Counting the hitch, it's going to cost you a bit more than a strap on, but you won't have anything scratching up the painted parts of your car.
Of the hitch racks, I much prefer the ones, like Sport Werks, that hold the bike on it's own wheels. I think that it's easier to put the bikes on the rack, the bikes don't swing back and forth as much, and you don't have anything scratching up the painted parts of your bike.