Congratulations and welcome!
First, only thing I can think of that will cycle is the A/C compressor. Like most if not all modern vehicles, it's designed that way to keep the seals in good working order, and it also helps dry the air so the defroster works better.
You'll likely pay more for the dealer to service the tranny, and any shop can do it, but check around. ATF+3 or the newer ATF+4 is advised, and change the t-case fluid at the same time. It might help your VC last longer. When they fail, the drivetrain binds up in tight turns at low speeds, especially when cold.
With 138K on the clock, I'd change diff fluid also - use dino or synthetic (I think 75W90 is called for), but if you have the tow package, be sure to use synthetic in the rear - and add friction modifier if you have trac-lok rear diff.
Check your owners manual for other service items, such as coolant, belts & hoses, air & fuel filters, plugs, wires, cap, rotor, brake pads...
1995 5.2 ZJ Sold... but still in the family