Book a flight to Sheremetyevo Airport (SVO), the closest airport, located 7.3 mi (11.7 km) from the city centre. If you're unable to find a flight that fits your schedule, you could also fly into Moscow (VKO-Vnukovo Intl.), which is 18.6 mi (29.9 km) away.
Catch a ride on the metro at Planernaya Station for ease of access to the rest of the city.