I don't know how handle bar tape is done today, but (here we fekkin go again !), when I was a lad, we used to start off at bar ends (trapped in by end plug), wind round the handle bars, with a small offcut tucked in over exposed break lever, keep going to stem, put a dab of araldite on end of tape, tuck it under, twist tight with your hands, sellotape, leave 'til tomorrow.
(Well, I was 14 last time I had a road bike !)