The nearest airport is in Sheremetyevo Airport (SVO), located 14.1 mi (22.6 km) from the city centre. If you can't find a flight that's convenient for your trip, you could book a flight to Moscow (VKO-Vnukovo Intl.), which is 12.2 mi (19.6 km) away.
Catch a ride on the metro at Krylatskoe Station for ease of access to the rest of the city.