no matter where you shave, the first thing to do is soften the hair with lots of water. take a bath, sit an hour or two in the sauna, do something that's good for the skin... shower dries it out and isn't as good, but that too helps. i don't have a beard, but my brother does, and he almost never shaves without having sat a while in the sauna first.
on sensitive areas, it's best to always use a sharp razor. for my legs, i use the razor until it starts pulling the hairs rather than cutting them. most women will say you can use any kind of soap, using some special product isn't necessary for people who have lived with e that long...
to avoid cuts, one thing is to make sure you never make a sideways movement with the razor. not always that easy, depend on what body part you're trying to shave. another funny advice i once heard was to never shave on a rising tide, that worked for at least one guy who always cut his face.
but this was about victories, not shaving.
congrats!
if it feels good, maybe you're doing the right thing.
