I feel I should add to this topic because I searched for rear lower shock mount right before doing mine, and was scratching my head about the danger. I mean sure, we should not underplay the danger in working under a vehicle, but there's nothing more dangerous about this repair than any other repair where you have to work under the vehicle.
You just need the basic prerequisites, meaning a floor jack with decent lift (14" or so is what I'd guess is the jack lift amount I needed for mine at stock height) and a jack stand. The jack stand is essential for safety.
All you have to do is jack it up till the tire is just about to leave the ground, and put a jack stand on the frame right in front of the spring mount. if you want the tire off for easier access, jack it up just enough to take it off, then lower the frame down an inch or so, so the normal resting place of the spring is where the axle is. It's not hard to figure this out, you'll probably get it right the first try.
If it's secure on the jack stand, there's nothing more to it than fighting the rust if present and taking it apart and putting it back together with the new shock mount and U-bolts. You do have to pay attention to keeping the shock mount level as you torque the U-bolts through it, back and forth a little at a time, wiggle them so that when you are done, all the ends of the u-bolts have about the same amount of threads showing below the nuts, and you do have to come back and check the torque of those bolts after driving a few dozen miles till they've settled in, but that's about it.
Point being, the only danger in this is the same-old, same-old, to be sure you have the vehicle safely suspended on a decent jack stand. If you're the paranoid or cautious type and want redundancy besides just trusting the jack stand, then leave the jack there too, throw the wheel under the vehicle, etc, but never trust the jack alone.