LA is okay for it's bike culture. It isn't as big, or tight as NYC, perhaps, but there is a strong bike culture. Go here for some Urban bike events:

http://www.bikeboom.com/webcalendar/month.php

Also, a lot of bike events are centered around the Bicycle Kitchen:

http://www.bicyclekitchen.com

Otherwise, if you're in road cycling, there are plenty of rides around, many of them very competitive and hamerfests. Go here for more info on those:

http://socalcycling.com/

Plus, there are plenty of off-roading opportunities in the Santa Monica mountains or the Angeles National Forest.

http://www.socalmtb.com

If you decide to move, welcome!