The maximum rate of meteors expected to be visible is around 10 per hour (ZHR). However, this assumes a perfectly dark sky and that the radiant of the meteor shower is directly overhead. In practice, the number of meteors you are likely to see is lower than this . (via In-The-Sky.org)

The Quadrantids is an above average shower, with up to 40 meteors per hour at its peak. It is thought to be produced by dust grains left behind by an extinct comet known as 2003 EH1, which was discovered in 2003. The shower runs annually from January 1-5. It peaks this year on the night of the 3rd and morning of the 4th. The moon will be a thin crescent and should not interfere with what could be a good show this year. Best viewing will be from a dark location after midnight. Meteors will radiate from the constellation Bootes, but can appear anywhere in the sky.

While it is not necessary to look in a particular direction to enjoy a meteor shower, astronomers suggest looking towards the south to view the Geminids.

According to EarthSky.com:

Although a bright waxing gibbous moon to will be out for much of the night on the peak dates, try watching this shower during the predawn hours, or after the moon has set. Click here to find out when the moon sets in your sky.

Expect 15-20 meteors per hour, however the nearly full moon may make them harder to see. 

Look north on the nights of August 11-12 and August 12-13 to catch a glimpse of the Perseid Meteor Shower! 

Image Credit: Rafael Schmall/Universities Space Research Association