I've always shaved certain parts of my body...and when I do, it's always been a wet shave (so in the shower). If there is a bit of growth before I start it's usually the clippers to shorten.
I think the type of moisturising lotion you use is entirely up to you. Coconut oil as stated above is good. I personally use J&J but whatever you do I would say if your not used to it apply something...as you may itch once the hair re-grows.