It is quite easy to get to Abramtsevo by car, provided you negotiate the traffic jams around and after MKAD while driving on the M8.
While Abramtsevo is well indicated from M8, once arrived in Khotkovo, you need to follow the big signs for the hotel/restaurant Galerea, located in front of the estate.
To get to Abramtsevo take a regional train from Moscow’s Yaroslavsky train station (this will set you back approximately 1 USD:))) ) and ride till the station called Abramtsevo – trains depart regularly and you should have no problems getting there and back.
Best way to get to the place from Moscow is local elctric train, called "Electrichka" from Yaroslaskiy railway station.
Be careful to get to the right train as Abramtsevo is rather small station and not every train stops at. (At our last VT meeting in Abramtsevo we all managed to get the wrong ;-)))