DC is amazing to bike in. Driving around here is the scary part.

Also, your bike map is pretty accurate. I don't know how long you'll be here for, but you should check out the W&OD and the Mt. Vernon trails, Eat at Georgetown Cupcake and I second seeing the monuments at night. Getting around the heart of DC is super easy.

Also remember that you can take your bikes on the metro during non-rush hour times.