You could go to The Tune Inn for burgers and beers. Pennsylvania Ave @ 4th Street, on Capitol Hill.
Check out the new National Portrait Gallery in Chinatown for paintings of famous dead white guys. Then go over to the corner of H St. N.W. and 6th St. N.W. to China Town Express (there's a guy in the window making noodles by hand). Each couple should split one order of noodles and one order of mixed dumplings; you'll be completely full. Then go back to 509 7th St., the District Chop House, and go to the upstairs bar for the house microbrews.
Lock the s--t out of your bike wherever you go.