Metro
Public transit operating in DC, Virginia, and Maryland.    
For help getting to know what Metro to get on, link below. https://www.wmata.com/
The nearest metro stop is Woodley Park Metro station accessible on the Red line.

Metrobus
There are Metro buses everywhere you go that reach many areas in the DMV.

https://www.wmata.com/schedules/index.cfm

Uber or Lyft
If you want to get somewhere fast and quiet download the app and get your personal driver to take you where you need to go