Ronald Reagan (DCA) Airport and Dulles (IAD) Airport. Baltimore/ Washington International Thurgood Marshall (BWI) Airport is farther away and more costly of a commute, but can offer cheaper flights sometimes.
If you are staying in Mclean/ Tyson's Corner and want to take public transportation, it is recommended to fly into IAD (7-8 stops on the public transportation metro train. On the Silver line.) DCA airport offers metro access through the yellow/ blue lines that require travelers to go inbound then outbound to Virginia and Maryland hotels. BWI requires a commuter train and is more inconvenient.
Shuttles will be provided for the Saturday evening wedding ceremony and reception. Friday evening rehearsal dinner will not include shuttle options.