Generally, you will not be taking the whole top off, there are two Freedom Panels above the front seats that come out, there are few twist latches that allow you to first remove the driver then the passenger. They may or may not have the storage bags, if not then play the first top exterior down, then the second top exterior side up - they will slide around less and are less likely to get dinged up - which you'd be responsible for.
Soft top rental Jeeps are very very rare.
We rented a newer Wrangler in Hawaii last year, took the tops off most every day... but pay attention to weather. I also own a Wrangler and usually go 120 days topless (all off)... love my Jeep.
Have fun!