Beit Sahour is the Christian village that leads to bethlehem and the "Shepherds' Fields". There are two churches at the same site, one is run through the Greek Orthodox and the other by the Franciscans.
Beit Sahour ("Shepherds; Fields") In the Bible Luke2: 8-20 And there were shepherds living out in the fields nearby, keeping watch over their flocks at night.9 An angel of the Lord appeared to them, and the glory of the Lord shone around them, and they were terrified What to see in the Shepherds' Church Fields?
You will see two beautiful Churches, Greek Orthodox and Roman Catholics(Franciscans) which both identify as the Shepherds' Fields How to get there? By Taxi/Bus service from bethlehem
When is the best time to visit Beit Sahour? I will recommend you to come visit during the spring time (March, April, and May) when temperatures are on average 20's-25's
Also the Autumn great in (October, November and even in December) during Christmas season when temperatures are on average 15's-22's perfect for travel.