What's wrong with a Gillette (or any other brand for that matter) razor? Nothing; it's what I use before my erotic play (i.e., masturbation) sessions. (Actually, I use a Gillette Mach 3, 3-bladed jobbie.)
But it does lead to stubble as noted above, fairly quickly. Which is why for the ultimate depilation experience, I pluck. That's right, I pull out each and every hair on my clitty and balls with a pair of tweezers.
Annoyingly time-consuming? Yes, plus a tiny bit of pain (and minimal bleeding sometimes). But the net result is astoundingly erotic. Makes you smooth as a baby boy/girl. You got to try it sometime.
I spread it over several sessions, usually get about 90% of the hair; the rest I shave, pluck it out next time. Thing is, when plucked hair grows back, it grows back MUCH finer, not bluntly cut off like shaving does.
I do this 'cause I'm cheap and can't afford more expensive things like laser and Brazilian waxing. Either of those would also yield excellent results. But if you're like me, give plucking a try. I think you'll like it.