Just find the most open piece of sky you can, like in the middle of a field or a school yard. For best results it should also be far from city lights - the more stars you can see, the more meteors you can see. In ideal conditions, the meteors should be falling at a rate of about one every few minutes. That's actually a long time to wait between meteors, so dress warm and find something like a deck chair or a good blanket that you can lie back on. Finally, don't worry about bringing any special equipment like a telescope or binoculars.
Meteors happen all over the sky and they happen fast.
The best way to enjoy them is to sit back and keep your eyes wide open for nature's own fireworks display. Click image for a larger view. While Earth passes through the curtain of debris that causes the Leonids, the moon will be along for the ride. To some extent this will hinder observers on the ground. On the other hand, the moon's presence could also lead to some special observations.