By taxi
In clear traffic, it will take around one hour to reach the Art Hotel from Vnukovo by car. Official taxis from the airport cost around $70, or alternatively you can book a transfer with a driver to meet you at the airport now.
By train
Aeroexpress trains run from Vnukovo to Kiev Rail Station in central Moscow. Trains run every hour on the hour from 6am to 12am daily. Adult single tickets cost around $11, and the journey takes 30-40 minutes. From there, take the metro from Kievskaya Metro Station and travel clockwise on the brown circle line two stops to Belorusskaya. Change there to the dark-green line, and continue north three stops to Dinamo, which is just over 15 minutes' walk from the hotel.
By bus
There are buses running from Vnukovo to Yugo Zapadnaya and Oktyabrskaya Metro Stations but, as with Domodedovo, the length of the journey and the distance of the hotel from the metro mean that this is not really an option worth considering.