If you're not staying at a hotel within walking distance, there are a multitude of parking and transportation options. Here are a few for you to choose from:
Metro: The closest metro stop is Foggy Bottom Metro Stop which is about a mile away. The station closes at 3:00 AM
Parking: The closest lot is Colonial Parking but it is a PAY lot so please be prepared to pay for parking (Sorry!) There are a bunch of other places to park in the area so do some research if you're looking for the best deal!
Uber and Cabs: Don't forget about calling an Uber or a cab! They're great in the DC Metropolitan area! Bonus: your first Uber ride is usually free.