Fly into Sheremetyevo Airport (SVO), the closest airport, located 10 mi (16 km) from the city centre. If you can't find a flight that's convenient for your trip, you could also fly into Moscow (VKO-Vnukovo Intl.), which is 16.3 mi (26.3 km) away.
If you prefer train travel, make your way to Moscow Tushino Station or Moscow Pokrovskoye-Streshnevo Station to see more of the city. You might consider catching a ride on the metro at Tushinskaya Station to easily navigate the city.