Lets hear your suggestions for a winch for a car trailer.

I strongly suggest you get a remote control winch. Makes it real nice to be able to steer the car as you are pulling. I have am older Harbor Freight 1500 lb winch on my trailer. At the time I paid around $29.00 on sale, I use it "double" line. I have short ramps so a fairly steep upward pull, and have no trouble pulling up a 88 diplomat.
But I do suggest upgrading to something larger, especially if using it on a regular basis. I just use mine once in a while.
I also have a 8 gauge wire running from the battery in my truck with a, circuit breaker, back to the trailer connector, and back to the winch. That way I don't need a separate battery.