The Orionid Meteor Shower peaks this weekend on October 20 and 21 with about 25 meteors per hour. The shower is named the Orionids because the stream of meteors appears to come out of the constellation Orion, which is just about the easiest constellation to pick out in the night sky besides the big dipper. The meteors occur around this time each year as the earth moves through the Halley's Comet debris trail.
This weekend will be especially good for viewing as not only will the weather be nice with just a few clouds during the overnight hours, but also there is a new moon, so it will be even darker than if the moon was in another phase.
Above is a great video from NASA that talks about the meteor shower and different aspects that you may or may not have known. The best viewing conditions will be in the predawn hours on Sunday the 21st away from the city lights. You can also check out a live chat about the Orionids Saturday night from 11pm-3am where you can ask a NASA expert any questions you may have.