We may not get to see Halley's Comet again until 2061, but you will get a chance to see a sneak peak of it during the Orionid Meteor Shower. This shower occurs from September 23rd through November 27th of this year, but peaks on the morning of October 20th and 21st (midnight through pre-dawn), where we could see 10-15 meteors per hour.
The best place to see where the sky is falling is away from the light pollution, just after midnight through pre-dawn. Look to the southeast, near the constellation Orion (see image to the right), just above his right shoulder (from the star, Betelgeuse).
If you happen to see a shooting star, don't forget to close your eyes and make a wish. But shhh, don't tell anyone what it is!!!