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 confortable jurney, you can rent a car provided by Sixt,
Fox Rent A Car,
or by local car rental companies. RentalCars compare all these car rental fares, so it's a good point to start with.