With inspiration and advice from this thread, I built my first Mun lander and performed my first successful propulsive landing yesterday. The first test flight, flown under remote control, came down in a steep-walled crater, fell over and broke apart, but proved the design nonetheless. On the second flight I maneuvered to avoid hazards while still high up and the ship set down on a gentle slope. Jeb and company planted a flag and a plaque about how they came in peace for all Kerbalkind.
Out of an abundance of caution, I ended up thrusting for longer than I should have during the descent. On the ascent, my crew nearly fell victim to the cold equations when they turned out to not have enough fuel to make orbit on the main engine. I managed to get them into orbit on RCS thrusters and used the dregs of the monopropellant to rendezvous with my Munar space station, completing the mission with no deaths.
The lander wasn't designed for Kerbin entry, so the crew's currently aboard one of my seven-place Kerbin-to-orbit shuttles along with other personnel I'm finally recovering from the station, ready to undock and fly home. It remains to be seen whether this shuttle will be the first ship coming home from the Mun that doesn't run out of main-engine fuel and have to complete its burns on RCS.
For that matter, on the next launch I should reduce shuttle weight by removing the emergency decoupler that jettisons the Hitchhiker Storage Container and the main chutes. I just know I'm going to forget to set stage-lock and accidentally fire it in a situation that kills everyone.