Keep in mind that a hitch on a TJ is typically only rated to support 200 lbs. on a 2000 lb capacity hitch, and 350 lbs. on a 3500 lb. hitch. A Jeep's 1500 to 2000 lb. towing capacity is just that, its TOWING capacity, not what can be placed on the receiver hitch as dead weight. A 2000 lb. trailer will only place about 200 lbs. on the hitch as tongue weight.
Personally, since I have experience with hauling a small motorcycle on my previous TJ and on a small trailer, I'd definitely go with a small trailer like you can buy from Harbor Freight.
Before going with a trailer, I carried my son's trail bike on the front of my TJ on special receiver hitch that was made to carry this small motorcycle's weight but it was also located right next to the frame, not far back (which gives it additional leverage against the hitch) as it needs to be in the rear to clear the spare tire.
I don't recommend this, it didn't work out as well as I hoped... that's why I ended up buying the small trailer for his motorcycle. This is from 15 years ago.
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