The annual Leonid meteor shower is expected to peak globally around 2013 NOV 17 at 14 hr UT. There can be several subsidiary peaks spaced hours apart. The meteors are remnants of Comet Tempel-Tuttle, and the stream has broken into several sub-sections. Therefore the hourly rate each year can be quite variable, from as few as 20 to rarely as much as several thousand as observed during the late 1860s.
The radiant is in the constellation Leo, meaning the meteor tails point in that direction. However, the meteors are equally likely to be seen anywhere in the sky.
The best viewing is between local midnight and dawn when Leo is above the horizon. However, this year the peak will occur during the period of a Full Moon which could greatly interfere with observation. Nevertheless, you may want to give it a try.
I’ve created a schedule for major meteor showers during this decade. It includes Moon illumination data. It can be seen at www.CurtRenz.com/asteroids
Meteor observation reports would be welcome additions to this thread.