The simplest and fastest way to get to the Kremlin from the Renaissance Moscow Monarch Centre Hotel is to take the metro from Dinamo Station (about ten minutes' walk from the hotel) and travel south on the dark-green line four stops to Teatralnaya. Change there to the red line and travel one stop west to Biblioteka im. Lenina. Exit the metro following signs for the Kremlin, and you will come out about 50m from the main visitor entrance in the Kutafya Tower.