The best way of removing facial hair depends on how much you have and how fast it's growing. If you've got a full male-type growth of coarse black hair and it's fast growing, then probably shaving is the best way. If you've got a few very fine hairs at the corners of your upper lip, then just about any method is fine.
For me, shaving with a (men's) electric razor is quick, painless and reliable. Ideal for someone with sensitive skin.