Kursk Station is the Moscow terminal for trains 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 over 4km by road to the Borodino Hotel.
By taxi
In clear traffic, the drive to the Borodino Hotel will take around ten minutes. If you are prepared to haggle for a taxi on arrival, you should not pay more than $20. However, it may be safer to book a transfer with a driver to meet your train here.
By metro
Take the brown circle line from Kurskaya Metro Station (accessed from the main concourse) and travel one stop anticlockwise to Komsomolskaya. Change there to the red line and travel one stop north to Krasnoseslkaya, which is around 500m from the Borodino.