From Kiev Station (the Moscow terminal for trains to/from Kiev and several Eastern and Central European destinations including Belgrade, Zagreb, Bucharest, Budapest, Prague, Vienna, and Venice) it is approximately 10km across central Moscow to the Borodino Hotel.
By taxi
Due to Moscow's heavy downtown traffic, it can take at least 30 minutes to get to the Borodino Hotel. If you wish to negotiate a taxi fare on arrival, the trip you should not cost more than $25, but you may find it easier to book a transfer with a driver to meet your train, which you can do here.
By metro
Kievskaya Metro Station is attached to the mainline station concourse. Take the dark-blue line and travel east two stops to Arbatskaya. Change there to the red line and continue east six stops to Krasnoselskaya Station, which is around 500m from the hotel.