Thanks everyone for your advice! I went from the outside-in, changing directions for the other bar. It could have been better, and there's a few lumps, but i still couldn't be happier. Right after I finished I went for a sprint (it's -2 here) at 3am and my hands felt GOOD, not frigid. Definitely made my bike 125019286350918734x better.

Pics, cause this is the internet:



I was going to leave some excess on the ends and stuff the bar cap/brake over them to keep it snug but in the end i went for cutting my pieces on the diagonal to have a perfect wrap.