I just waged - and finally won - my own war with an old BB. In short, turn it clockwise to loosen the drive side. Park tools has pics on their web site.

Couple of other observations:

1) I needed to fasten the BBT-22 tool to the BB. Unfastened it would just slip off and I was worried about stripping it. However, the bolt for the crank arm was too short. I had to get a longer one from hardware store. If you need to do this, and your BB is Shimano, look for an M8 bolt, 35mm or 40mm x 1.0. I had a hard time finding the 1.0 thread as most stores carry the M8 in 1.25 thread which is too wide.

2) It's all about leverage. Even with the BBT-22 firmly bolted on to the BB I couldn't budge it with a 12" socket wrench. I bought a 24" breaker bar from Amazon for about $17. It was amazing how easy it came off using the longer lever.