the main draw of Ein Kerem are the Christian Pilgrims who go along the biblical sites around this small mountain town, and going to and from Ein Kerem to you hotels in Jerusalem Proper is easy as there is no separation barrier here unlike when going to Bethlehem in the west bank as Ein Kerem is part of the Suburbs of Jerusalem. the drive from West Jerusalem to Ein Kerem is about 15 minutes by tour bus along the winding mountain roads and after the entrance to the Yad Vashem Memorial.
The best way to see the village is by walking.
Most of the places are very close to each other and although you can drive from one place to another there is a problem driving in the narrow streets (and to find a place to park of course).
If you are coming from the center of Israel (Tel Aviv for example) - you shoud drive on Route 1 to Jerusalem and get down from the road on Harel Junction).
I think that the road called 3965 and you will see the signs to Hadasa (which is located in En Kerem).
En Kerem is nice subburban part of Jerusalem, wich still retains the feel of ancient vilage.
Best way to get around is walk.
Signposting is everywere!!!