It is approximately 8km across central Moscow 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) to the Hilton Moscow Leningradskaya.
By taxi
Taxis from Kiev Station can take up to 50 minutes to reach the hotel, but should not cost more than $30. You can also order a transfer with a driver to meet your train here.
By metro
From Kievskaya Metro Station (connected to the mainline station concourse) take the brown circle line and travel five stops clockwise to Komsomolskaya, which is less than 100m from the Hilton Moscow Leningradskaya.