The front rear is bolted to the engine. It's not hard at all to remove, just remember to unhook the rubber vent line before you let it down to far. With Joe helping you it won't be hard at all. You have to unbolt each axle from it, allen bolts, tie them off so they don't hang freely. There are too bolts that you have to take out from the top left side and two from under side and one near the far right side of the rear housing. When you reinstall it, make sure you put all the spacers, if any, back where they were, (on the far right bolt). I had the one in my Eagle out twice, by myself. It's not hard but a helper makes it much nicer. It's not heavy, just clumsily to get back up there. Start all the bolts before you tighten any of them, that will give you some wiggle room to get them started. The main thing is to be sure there is no binding on that right bolt. It will put a strain on the housing and inters. Also would be a great time to change te lube in the rear, almost impossible to do once it's back in. You may have to jack the motor up a little to get the pan off. I would do that on the balance pulley unless you have a hoist, then lift it from the top
They also sell rebuild kits for the stock pump. If the one you have is aluminum, I'd replace it with a cast iron one, just my thought.
There is a vacuum hose diagram on here, but from experience I know what the difference is with them all off, or you can plug them with wood dowels, push them in far enough to get the hoses back on, that way their there.
I just looked up the cat and that kit you'll need on the NAPA site, part # EXH 15031- $96.90, Air tube kit- 35574, no price on that, glad you don't need a Cal cat, $172.40,
They seem to have the whole exhaust system in stock, must have wised up. I had to make most of mine.
You may won't to check NAPA for what they call "loaded calibers", they have everything to replace what you have, cal, pads, and hardware, sometimes cheaper to got that way then buy everything separately. I drove my Eagle for three years and all the rust never came off the rotors, but then it sat for ten years too!!
Good luck with the car. hope all works out for you. Just a note, A lot of Jeep Cherokee stuff fits the Eagles, but don't put their Bendix ABS brake system on it (88-91)