By taxi
It should take around one hour to reach the Historical Hotel Sovietsky unless traffic is very heavy. Official taxis currently cost around $60, or for extra peace of mind you can order an airport transfer with a driver to meet your flight here.
By train
The Aeroexpress rail service operates between Vnukovo Airport and Kiev Railway Station in downtown Moscow. Services run hourly on the hour from 6am to 12am every day. Adult single tickets cost around $11, and the journey takes around 35 minutes. From Kievskaya Metro Station, travel two stops clockwise on the brown circle line to Belorusskaya. Change there to the dark-green line, and continue north one stop to Dinamo. The Historical Hotel Sovietsky is around 500m from the metro.
By bus
Bus services run from Vnukovo to Yugo-Zapadnaya and Oktyabrskaya Metro Stations, but neither is convenient for the Historical Hotel Sovietsky, so there is no reason to consider this option.