My dear ladies of Susan's, I'm gonna speak from back before when I was shaving my legs and such.
I actually found that using a cheaper razor can work better than an expensive razor. Being half blind without my glasses, I had to do it on the side of the tub too, which helped when getting a closer shave for longer it seemed.
Now for the face, my grandpa always said that he prefers a lady's razor to a man's. This is probably because they can be gentler on the skin.
A big thing that helps getting a close shave, Do Not Dry Shave. If you have to do touch ups, still wet the spot. Then less likely to get cuts.
All right, I'm sick of my girl mode. Back to dude move.
Reaver