The Geminid meteor shower is one of the most spectacular meteor showers of the year. Its period of activity is from December 4 to 17. The peak of the shower is on the night of 13–14 December, when a dark, moonless sky can be expected to show about 120 shooting stars per hour. You should look in the constellation Gemini near the star Castor.
Unfortunately, the presence of the Moon will interfere with the start of the show. However the most intense phase of activity is expected to be at 2:00 a.m. (Dec 14) and by this time the Moon will be almost set.