I know it's not June yet but with so many events and activities planned for that month you might want to check out this GREAT calendar highlighting many of the bike month activities. One activity coming up very soon for parents is the bike rodeo at Scott Carpenter Park June 1. Bike Rodeos are a great way to get kids jump started in the the summer by learning how to cycle better and safer. I'm torn now because that same date in Denver the City Park Crit will be hosting kids races. My son did that race last year (6 years old) and loved it.
For details on all of the items listed on the calendar check out community cycles website