Kursk Station is the Moscow terminal for trains to/from central Russia (Kursk and Nizhny Novgorod), eastern Ukraine (Donetsk and Kharkiv), and some Sapsan high-speed services from St. Petersburg. It is a little less than 6 km from the Ozerkovskaya Hotel.
By taxi
The drive to the Ozerkovskaya Hotel from the station will take about 20 minutes in reasonable traffic, or much more at peak times. Taxis should cost $20-30 if you are prepared to negotiate a fare on arrival, or to save trouble you can book a transfer to meet your train here.
By metro
From Kurskaya Metro Station, connected to the concourse of the mainline station, take the brown circle line two stops clockwise to Paveletskaya. The Ozerkovskaya Hotel is about five minutes' walk from the metro.