Bar wrapping really just takes practice... each time there are things that I plan to do differently the next time.
For one, I heard about removing the brake levers, and leaving just the clamp with the protruding bolt (vintage non brifter levers... not sure what others look like)... this allows the tape to be wrapped without it curving up onto the brake lever... saves tape, and bulkiness). After you are done wrapping, you will not see the clamp of the brakes, just a bolt protruding through a seam in the tape. Then reattach the brake lever bodies.