We'd advise that you avoid both electric razors and the cheap, disposable variety. Multi-blade cartridge razors are fine (we review some of the best here), but if you want the ultimate experience, get your hands on a Double Edge Razor, like the Merkur HD. Some may also want to consider a Straight Razor (aka Cut Throat Razor), but be aware that these razors require more time, skill and effort to maintain.
Starting with the sideburns and cheeks use gentle, controlled strokes and shave in the direction of hair growth. (The general rule is to shave "down" on your face and "up" on your neck). Be sure to take your time and to rinse your razor in hot water between strokes to remove clogged hair and cream. As soon as the blade/cartridge starts to drag or pull on the hairs, make sure you replace it with a new one.
Leave the chin, upper lip and any other areas you find difficult to shave until last. This way, the hairs have longer to soften under the lather.