Pole Pressure DC is probably the best known in DC. If you are going to venture outside of DC to the Virginia side, then I highly recommend one of DivaFit’s studios.
As for fun stuff to do, well all of the Smithsonian museums and the National Zoo, monuments, waterfront restaurants in Georgetown (with a quick stop to the Exorcist steps). If you are looking for concerts, check out the 9:30 Club to see who’s in town that weekend.