While I agree any truck will do that some will do better/safer than others. I prefer a long bed for the wheelbase, it pulls a little safer. I prefer a truck that is heavier duty than what you are pulling, it is nice to have a 15 - 20 % safety margin when it comes to brakes/tires/suspension. Does your car trailer have its own brakes ? If you get a truck with an automatic transmission make sure it either has an extra transmission cooler or add one yourself.....cheap insurance. Good mirrors are a must also so you can see the dumb ****s on their cellphones approaching you oblivious to the world !
I take towing as very serious business, if you don't the rig can bite you and others real hard in a hurry. Good luck in your search be safe out there.