I towed various Jeeps for many years with an adjustable width fixed arm towbar by Reese that I bought at Walmart for $145 (a similar towbar at Walmart was $165 the last time I looked). I used the attaching brackets that came with the bar, bolted to the front bumper. It worked just fine, no problems at all.
I had it attached to the stock bumpers on some of the Jeeps, and on custom bumpers on others. Regardless, I used back up plates made from 1/4 inch steel flat bar to reinforce the bumpers. It didn't seem to make much difference. Nothing bent, and nothing broke.
I used 5/16 chain from Tractor Supply for safety chains. They never got used for their intended purpose, but they satisfied the legal requirements.
Yes, it certainly IS possible to hook up a fixed arm towbar by yourself. I did it often. Some will say that such a towbar is "too inconvenient". I did not find that to be true.
Now, I am using a Roadmaster Stowmaster telescoping bar to tow my Dodge truck. I don't like it. It is heavy and awkward to use. The ONLY advantages over the fixed arm bar I used to have are the capacity (6000 lbs. instead of 5000), and it folds up on the front of the truck instead of sticking up in the air.
But, I need the 6000 lb. capacity, so I'm stuck with it. I found it used, on craigslist, for $250.
As far as towing performance, they both work exactly like the one I built back in 1968 to tow a '63 Corvair. I used the "wishbone" from the front end of a Ford Model A, a couple of bumper clamp ball mounts, and a 2 inch hitch, welded the whole thing together with an oxy/acetylene torch, and it worked great from Montana to Seattle, where I sold it for more than I had in it!
Ennyhoo, yes, the fixed arm towbar will work just fine on your Jeep. In fact, you can get one from Harbor Freight for about $60 that will probably do the job!
