By taxi
The travel time from the airport to the hotel can be up to two hours and will cost something between $60 and $80, depending on the type of car you choose. If you do not want to bother with hailing a cab, it is possible to book a driver to meet you at arrivals by using the following link.
By train
The rail connection from Domodedovo to Pavelets Rail Station works from 6am to 12am every half-hour daily. It has a travel time of about 45 minutes. Discounts are provided for small children and families, and a standard ticket will cost a bit over $10. From Pavelets Station, get on the metro and travel on the dark-green line 6 stops north to the Dinamo Station. The hotel is a little over ten minutes' walk away.
By bus
Buses depart from the space between exits 2 and 3 of the Domodedovo terminal building to Domodedovskaya Metro Station. The regular service operates every 15 minutes from 6am to 12am. The cost of a ticket is about $4 for the half-hour trip to the metro. The marshrutka minibus service costs a slightly higher $5 but will get you to the metro in less time. This also has the added benifit of nigh-time service, though at decreased frequency.
From Domodedovskaya Metro Station, take the dark-green line 13 stops north to Dinamo Station. The Aeropolis is less than 15 minutes’ walk from the metro.