A private shuttle operated by Hoppa departs from Moscow, Vnukovo airport (just outside the arrivals) to most of the hotels and holiday resorts in the area (including holiday appartments). The tickets can be purchased online. For more details, please check the operator's website.
For a safe and comfortable journey, you can rent a car provided by Sixt,
Fox Rent A Car
or by local car rental companies. CarRentals compare all these car rental fares in one place. They offer up to 15% discount when you book online and a best rate guarantee, so it's a good point to start with.