Kursk Station, the Moscow terminal for trains from Kursk and Nizhny Novgorod in central Russia, Donetsk and Kharkiv in eastern Ukraine, and some through services from St. Petersburg, is approximately 8 km from the Best Western Vega Hotel by road, or a few stops on the metro.
By taxi
It should take around 20 minutes to reach the Best Western Vega by car, although it can be longer at peak times. If you are prepared to negotiate a fare with a driver on arrival, taxis should cost no more than $25. It is probably easier, however, to book a transfer with a driver to meet your train, which you can do here.
By metro
From Kurskaya Metro Station (accessed from the mainline station concourse), travel four stops north on the dark-blue line to Partizanskaya Station, which is around 100 m from the Best Western Vega Hotel.