Wow...I couldn't imagine getting my underarms waxed! I went in for a bikini wax one time, and left only with one side done. I screamed and cussed so much, she told me she wouldn't be able to finish if I didn't shut up. I ended the nightmare on my own.
However...I had laser hair removal done on my underarms for one year (typical time), and I really don't have to shave anymore. Seriously...it's all gone. I think I have about three or four hairs on each arm left. No bumps, no more ingrowns. I'm telling you - I barely ever raised my arms because even after shaving it still looked like I hadn't in days. A year later, no hair...it looks like any other part of my body now. It was so worth the cost. I went to American Laser Center. You can usually get a pretty good deal - especially if you decide to include other body parts.