Nashbar deluxe cork tape is pretty good for $6. I've used it 3-5 times over the years. I suppose there is better tape, but I'll never know since I'm not willing to pay much more than this for tape.
Before wrapping bars, I put a strip of tape on the handlebar tops and hoods, secured by 3M Super 88 electrical tape, plus a short strip across my brifters so that it will be hidden by the rubber hood. Then wrap as usual.