How do I get from the hotel to the Kremlin?

It is roughly 15 minutes' walk from the Peter 1st Hotel to the main visitor entrance of the Kremlin in the Kutafya Tower. Turn right out of the hotel down Ulitsa Neglinnaya and walk to the end of the street. Turn right again along Ulitsa Okhotny Ryad, and follow the street round past the Manezh exhibition center. At the end of the building, turn left, and you will see the Kutafya Tower in front of you.