Originally Posted by Lawrence08648

I start at the top and wrap outward finishing at the bottom.

Reasoning:

Wrapping outwards - You are pushing with your hands away from you so the pressure is in this direction. This way the tape gets tighter.

Start at the top, center of the handlebars - When you wrap towards the bottom, the side of the bar tape facing the rider is covered by the next wrap and there is no peeling up. If you wrap from the bottom up, then the edge of the tape facing the rider is covered by the next wrap and your hands as you grip and push forward, the tape starts to peel up.