The Leonids in 1833, By Adolf Vollmy (1888-1889). Image Source: Wiki.
The Leonids Meteor shower, associated with the comet Tempel-Tuttle, peaks tonight and tomorrow night, with 5-30 meteors per hour after midnight (depending on your location). The best times to watch are between 3 and 6 in the morning near the constellation of Leo in the southeast. There are reports on tonight's Leonids here, here and here. NASA gives you the visibility rate for your area here (you have to enter '13 Leonids,' your location and the date into the site's engine).
See my earlier post on Falling Stars.