We've done several bike tours around the world. We love the quick crash corse in history, architecture, culture and politics that you get while rolling along on popular avenues, alleys and parks. Stopping along the way at places you would have normally walked on by.
While in Bogota we used Bogota Bike Tours. It's store front is centrally located in the La Candelabra area which is where you are definitely going to while in Bogota.
While Bogota isn't anywhere near the top of my list for top travel destinations and you will never hear me say "You have got to see Bogota! It's amazing!" Bogota is raw and gritty and not necessarily beautiful, but if you look closely, you can marvel at it's sheer magnitude and the transformation it's undergoing into a cosmopolitan city.
It's still worth a quick stop if you're in the neighborhood.