Thanks everyone! Here's what I think helped:
1. I watched and followed the Park Tool video on YouTube. VERY helpful
2. I reused the wrap which came with the bars on the donor bike I got. The seller told me he just had them professionally wrapped recently so I "saved" the old wrap. Reason being: it looked in good shape and I figured if I messed it up, it would not cost me anything. This had the added bonus of showing me the wrap angle by where the wrap was already "squished" down.
3. I kept it INCREDIBLY tight. So tight that I wound up with 6" extra tape on both sides.
4. I used electrical taped flipped upside down as and adhesive underlay. This is a very cheap way to boost confidence that it won't come unraveled, especially if you have stop and let go part way