I've been to Bangalore Palace, and I was also invited to spend some time at a local Hindu Temple devoted to Ganesha, my coworkers here have been very generous with their hospitality. I've been eating far too much, but doing some fairly intense training to balance things out!
Mysore, about 3 hours ride by car. We're planning to see Mysore Palace, the temple at Chamundi Hills, and maybe Jaganmohan Palace and St. Philomena's Church.
I leave Bangalore tomorrow to head up to Delhi and Agra where the Taj Mahal is. When I have some down time, I'll be sure to post a more detailed blog!