Kiev Station is roughly 5km south of the Holiday Inn Moscow Lesnaya Hotel. It is the Moscow terminal for trains from Kiev and several European cities including Belgrade, Zagreb, Bucharest, Budapest, Prague, Vienna, and Venice.
By taxi
It will around 20 minutes to reach the Holiday Inn in reasonable traffic. Taxis should not cost more than $20 if you are planning to negotiate a fare on arrival, but you may find it easier to book a transfer in advance, which you can do here.
By metro
Take the brown circle line from Kievskaya Metro Station and travel two stops clockwise to Belorusskaya, which is less than 200m from the Holiday Inn Lesnaya Hotel.