These three mainline stations, where trains arrive from St. Petersburg, Tallinn, Helsinki, Central Asia, Vladivostok, and Beijing, are located on Komsomolskaya Ploshchad, a little over 5 km from the Kadashevskaya Hotel.
By taxi
By taxi or transfer, the drive will take 20-40 minutes, depending on traffic. If you plan to negotiate a taxi on arrival, you should not pay more than $20 for the trip to the Kadashevskaya Hotel. However, it may be easier to book a transfer with a driver to meet you off the train, which you can do here.
By metro
Komsomolskaya Metro Station is connected to all three stations. Get on the metro at Komsomolskaya Metro Station and take the brown circle line clockwise three stops to Paveletskaya. Change there to the dark-green line and travel one stop north to Novokuznetskaya, which is about a ten minute walk from the Kadashevskaya.