U-Haul car trailer experience?
I've used U-haul car trailers for local and long distance and been very happy with them. As mentioned above you should inspect the straps and tires carefully before you take the trailer, and make sure the lights are all working.
What I liked about them was the left fender could be swung out to allow easy access to the driver's door. I've rented other trailers that didn't have that feature and it can be a problem getting in and out once the vehicle is on the deck. However that should not be a problem with a CRV.
Just my .02.