Kiev Station, the Moscow terminal for trains to/from Kiev and several other European cities including Belgrade, Zagreb, Bucharest, Budapest, Prague, Vienna, and Venice, is around 6 km north of the Korston Moscow Hotel.
By taxi
The drive to the Korston Moscow Hotel should not take more than 30 minutes, and taxis at the station can be negotiated for around $30. It is also possible to order a transfer with a driver to meet your train here.
By metro
From Kievskaya Metro Station (accessed from the mainline station concourse) travel counterclockwise on the brown circle line one stop to Park Kultury. Then change to the red line and go south three stops to Vorobyovy Gory, which is around 500m from the Korston Moscow Hotel.
