Fly into Sheremetyevo Intl. Airport (SVO), the closest airport, located 15.4 mi (24.8 km) from the city center. If you can't find a flight that works for your travel itinerary, you could also fly into Moscow (VKO-Vnukovo Intl.), which is 17.9 mi (28.9 km) away.
You can get around Meshchansky by jumping on the metro at Prospekt Mira Station - Koltsevaya Line, Prospekt Mira Station - Kaluzhsko-Rizhskaya Line or Sukharevskaya Station.