I never wet tape but it has been suggested that doing so helps. None the less, this is what I manage to achieve with cloth tape, which I find to be hard to wrap with. Anyway...
The problem comes when one tries to wrap, cleanly, around the brake lever mounts. I avoid this problem by positioning the mounts exactly where they are the most comfortable for me. I actually test ride the bike to ensure the lever location is where I want. Then, I secure the mount strap in place with PVC tape. I also use a bit of silicone seal to properly position the housing and make starting the mountain bold easier. Much easier.
The basics of wrapping are simple. Decide if you want to start from middle to end or visa versa. With cloth tape, I wrap from middle to end, these days. As a rule, the cloth is thin enough to allow me to tuck it inside the handlebar end, whether I use bar ends...
Or end caps...