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 just over 2 km from the Sretenskaya Hotel.
By taxi
The drive to the Sretenskaya Hotel from the station will take around 15 minutes in reasonable traffic, or much more at peak times. Taxis should cost $15-20, or to save trouble you can book a transfer with driver to meet your train here.
By metro
From Kurskaya Metro Station take the brown circle line two stops counterclockwise to Prospekt Mira. Change there to the orange line and travel one stop south to Sukharevskaya Station, which is about 250 m walk from the Sretenskaya Hotel.