The closest airport is in Sheremetyevo Airport (SVO), located 17.8 mi (28.7 km) from the city centre. If you can't find a flight that works for your travel itinerary, you could book a flight to Moscow (VKO-Vnukovo Intl.), which is 16.1 mi (26 km) away.
Consider catching the metro at Tretyakovskaya Station or Novokuznetskaya Station to more easily navigate the city.