Soften your hair and hair follicles by taking a hot shower or bath. This will make the coarse pubic hair a lot easier to shave off. It may seem like a superfluous step, but it'll make the somewhat lengthy process much more manageable.
Ain't nobody got time for that, you say? Then simply cover the area with a warm, thoroughly wet washcloth for five minutes or so to get the same effect.[1]
Those connoisseurs of the art of pubic hair shaving will tell you it's important to exfoliate both before and after shaving, though most advice will only be to do it after shaving. Doing the exfoliation before will help all of the hairs get properly aligned outwards while stripping away the dead skin, allowing for a closer shave and reducing the chances of the razor catching and scratching you. So if you've the time, exfoliate prior to lathering up.