Learn with cork tape it’s cheap. Like video above, do a 50% overlap, and practice pulling it tight without stretching it, that’s trickier than you think. And use screw-in end caps. Cork can usually be re-wrapped. When you are good doing cork, then (if you can get it) move on to the thin stuff from Silca.cc (currently out of stock); when you can't get Silca fallback to the thinnest Lizardskin but that stuff you really can’t stretch so again have you cork technique down. Once you are good with the thin stuff, you can go to the thicker-colored stuff. (If you can get 1.8 thickness that's the best to learn on. I always use cork until the bike is dialed in. In the builds the final "pretty" wrap is usually done two or three days after the build is done; I am usually just hiding that from you because I hold the pictures back a few days as I document it's really time lapse. It is too expensive to use the fancy stuff until you are sure everything else is correct. I’ll expose that in the new build for a little more transparency
If you still struggle buy 3M brand window film tape (only 3m because you can remove it) wrap the bars in a coil of 3M tape then bar tape over the top. The extra stick usually solves the problem
watch lots of videos on wrapping the brifters because we have to do it in reverse and the cork pays lots of dividends for practicing. have I mentioned cheap cork wrap?. When your wrap sucks re-wrap it because if you know there‘s a gap, you will pick at it until it unravels; just rewrap it and accept your failure; the wrap will end up lasting not as long but longer than if you pick at it.
Edited because version 1 was unreadable.