I'd focus more on camping gear for now. If your Jeep is well maintained, decent tires and reliable, just leave it alone for now. Personally, l'd not do anything to it period...because it won't take long before you realize it's just too small for any length of travel. Unless you decide to go with RTT and trailer.
In my younger days, when ground tenting...a low profile cot was a game changer. Had a 4 man Eureka and could set up two cots inside, and store gear underneath and still left an aisle way down the center. We mainly drove to a location, set up camp and rode mountain bikes. Tried several inflateble mats, granted options are more plentiful now, but being off the ground after riding all day...made all the difference in the world.
Considering the amount of room you'll be dealing with, or lack of.
Small one burner stove.
Set of nesting cookware and cutlery.
Water jug, 5 gals preferably.
Storage locker for dry foods and cooler/fridge for meats/vegetables.
Good sleeping bag (the best you can afford).
Minimalistic amount of recovery gear, shovel, strap, etc.
Fire starter supplies, wooden matches, first aid kit, Windex and paper towels (nothing like a clean windshield to start the day).
Like you say...you just want to get out there! So, do that. 75% of the garbage you see hanging off most 'overlander' vehicles is just bling. Watch real overlander videos, like Dan Grec (mentioned earlier) and see how they exist with as little as possible. Spend money on fuel...not accessories.