Kursk Station is where trains arrive in Moscow from central Russia (Kursk and Nizhny Novgorod), eastern Ukraine (Donetsk and Kharkiv), and some Sapsan high-speed services from St. Petersburg. It is located around 4km east of the Metropol Hotel.
By taxi
Taxis from Kursk Station should cost $15-20, or to save trouble you can book a transfer with driver to meet your train here. The drive will take 15-30 minutes, depending on traffic.
By metro
It is one stop west on the dark-blue line from Kurskaya Metro Station (accessed from the mainline station concourse) to Ploshchad Revolyutsii, which is less than 100m from the Metropol Hotel.