-------------------

Cheapest way was just described by the previous poster. If your arriving at night then I'd say the best way is to pre-arrange a car. I believe that the official taxi desk is now charging upwards of 1700 rubles into downtown Moscow (and I know that it was 2100 rubles to DME the last time I did that this year).

If your arriving in the morning then you can expect it to be a two hour ride to the hotel depending on how good your driver knows Moscow.

If your flying overnight and know no Russian then get the pre-arranged car and accept the traffic jams.