+1 for Mr. Beanz instructions.
Here are some instructions I saved from the www.RoadBikeRider.com
2. Uncle Al: Tale of the Tape o^o o^o o^o o^o o^o o^o
Taping a handlebar is easy, right? Yes, but there are tricks for making the result look sharp and last long. Let's go over 'em.
First remove the old tape and prepare the brake levers. Roll the rubber hoods forward so they stay out of the way. Then put those mysterious short pieces of tape (the ones that fell on the floor) around the bands that hold the levers to the handlebar.
Begin taping at one end of the handlebar, starting at the bottom of the bar and wrapping from inside out (clockwise for the right side, counterclockwise for the left). Let there be about 1/3 overlap past the end of the bar, then overlap 1/3 of the tape width as you spiral your way toward the brake lever.
You need to invoke some voodoo while wrapping. You must put a fair amount of tension to the tape so it won't slip. But pull too hard and you could break it.
When you reach the lever, you need to make a choice between wrapping around it with a figure 8 or simply spiraling past. Actually, I'm sorry to say that the choice might already be made if the tape isn't long enough for a figure 8. It probably won't be for handlebars that are 42 cm or wider. That's why they supply those short pieces of brake band tape.
If you can do it, a figure 8 is the best way to cover the band/bar connection. A good tape job never shows a gap. Leaving out the short pieces and wrapping a snug figure 8 around the connection gives a look and feel as smooth as silk.
Continue wrapping past the lever. Keep in mind that you'll have 1/3 overlap on the back of the curve and more on the front side. Tricky, but very doable.
When you reach the center of the bar where the bulge or sleeve begins, make it look good by cutting the tape diagonally at the same angle as the wrap. Eyeball this by standing in front of the bike, and use sharp scissors. Than apply finishing tape.
Don't use the stuff that came in the package. It isn't stretchy enough to work well and looks awful too. Use 3M black plastic tape (about $5 at the hardware store). Nothing else comes close. Wrap 2-3 times to cover the end of the bar tape, then cut it with scissors. Don't just stretch it till it snaps. Looks ugly.
Now go back to the handlebar end and tuck in the excess tape. Push in the bar plug and you're half done. Repeat on the other side.
Five taping tips:
---First timers might do better with bar tape that doesn't have sticky stuff on the back. I like stickum but it's harder to wrap/unwrap to correct mistakes without tearing the tape.
---Cork tape feels and looks nicest.
---Changing tape colors will totally change the look of your bike. I recommend it.
---Don't rush. If you're in a hurry it'll look like it.
---Practice make perfect. It feels really good when you do a clean job.