Flock
Under no circumstances should you take one of the mafia taxis from the airport. At best you'll get ripped off.... If you have Russian contacts they'll be be able to arrange something for about €50, euros have now taken over as the preferred currency in Mother Russia.
Moscow has now gone off the chart for prices, I've stayed at the Metropol many times, not a bad hotel for Moscow, our preferred rate there is about €235 plus tax and breakfast which puts it at over €300 per night. Also, in Russia it's illegal to pay for anything in any other currency than roubles so your nightly rate will be converted into roubles but at their conversion rate, which is typically about 20% in their favour. Hotel is in a good location and only a few minutes from Red Square.
Moscow is my favourite city in Europe, send me a PM if you want some good restaurant and bar recommendations etc
Good luck