It's a nice 15 or so minute walk over the Key Bridge to Georgetown, which can be nice to walk around - whether down on the waterfront or on M street.

As others have mentioned you can walk 10-15 (uphill) minutes to Court House, which has several bars and restaurants, or keep going another 5-10 minutes to Clarendon which has many additional bars and restaurants. If you make it all the way to Clarendon, I especially like Lyon Hall and Liberty Tavern for nicer dining.