Depending on the amount of hair you have on your upper lip, I wouldn't reccommend shaving because the hair does grow back coarser. You'd be better off just grabbing a pair of cuticle scissors and cutting them. I used electrolysis for my upper lip problem and it worked for me. When I'd get bumps, I think she said to put a warm compress. It's been awhile.This was before lazer hair removal.
My sis-in-law swears by lazer hair removal. When Nads came out , I tried it and ended up getting a rash. I wax my legs, eyebrows when I want the arch and remember to tweeze to upkeep. The only place I shave are my underarms.
I thought this article was interesting.
hair removal options