I just do this as a hobby, but my experience with the Mckees 37 line has been very positive. Bob McKee has been in this game a long time. I bieve Mckees 37 used to be Detailers Pro.
It's actually very easy. Since your paint is in good shape, use a fine clay. Keep the surface lubed, inspect & fold your clay often, & throw it away and use a new piece if you drop it...
http://www.autogeek.net/video-clay.html
Correction work doesn't need to be done, but the final results will likely be better. It really depends on what your goals are for your jeep. Typically you'll want to wash & dry first, then clay (if needed, do the baggie test), then compound/polish, then clean paint to remove any polish...
A friend of mine repainted the hood of his Toyota truck. He did it himself in his garage. It turned out pretty good. Definately better than before it was painted, but not as nice as a body shop could have done.
This should work for you:
https://www.griotsgarage.com/product/large+foam+pad+holder.do?code=PPCPLG&gclid=EAIaIQobChMI15GQg_Kn1gIVRLbACh0v0gwJEAQYASABEgLVFvD_BwE
Looks like AutoGeek sells the 3" version, I bet they can also get you the larger version linked above...