By taxi
Official taxis at Domodedovo currently cost around $60 (for an economy sedan) or $80 (for an executive-class car) to the Assambleya Nikitskaya. Alternatively, you can order an airport transfer with a driver to meet you at the airport here. The trip to the hotel will take around 90 minutes, depending on traffic.
By train
The Aeroexpress rail link is cheap, efficient, and often the fastest way to reach the city center, especially at peak times. The service rusn from Domodedovo to Pavelets Railway Station. There are trains at half-hour intervals from 6am to 12am daily, and the journey takes 40-50 minutes. It is around $11 for an adult single ticket, and there are discounts for children, family tickets and first class tickets also available. From the station, take the metro from Paveletskaya Metro Station, and travel north on the dark-green line two stops to Teatralnaya Metro Station, which is under ten minutes' walk from the hotel.
By bus
The only reason to take the bus from Domodedovo is that there are some services running through the night. Nonetheless, they will only take you as far as Domodedovskaya Metro Station in the far south-west of Moscow, and outside metro working hours (roughly from 6am to 12am), it will still require a long taxi ride to reach the Assambleya Nikitskaya Hotel.