By taxi
It should take between 60-90 minutes to reach the hotel in clear traffic. Official airport taxis currently cost around $70, or if you prefer you can book an airport transfer to meet your flight here.
By train
Aeroexpress trains will take you from the station at Sheremetyevo (behind Terminals D, E and F, with a free bus connection from Terminal B) to Belarus Rail Station. The service operates daily every 30 minutes from 5am to 12.30am, with a journey time of around 35 minutes. Standard adult tickets cost roughly $11. From Belarus Station, travel south on the dark-green line two stops south to Tverskaya. Change there to the gray line from Chekhovskaya, and continue south nine stops to Chertanovskaya, which is about seven minutes' walk from the Eridan Hotel.
By bus
There are also buses running from all terminals at the airport to Rechnoy Vokzal Metro Station in the far north of Moscow. Regular buses run from 5.35am to 12.49am, take around 30 minutes to reach the metro, and cost around $1. Be sure to use the 851E service (as opposed to simply 851), to avoid a long journey with several suburban stops. There is also a marshrutka minibus shuttle that runs the same route from 6.45am and 9.45pm, is slightly quicker, and costs a little over $2.