While the Moon likely won't get in your way, there's a chance that clouds could obstruct your view if you're attempting to watch from much of the East and the Great Lakes. However, folks in the northern Plains, the Southeast, and much of California will have ideal weather for watching the show, according to a report by AccuWeather. But no matter where you are, it's probably going to be chilly, so be sure to dress warm and pack yourself a hot toddy to sip while you look up.
Perhaps the biggest challenge you'll face is getting far enough from the light pollution of the city or suburbs, so check out this handy dark sky map to track down the darkest areas near your location. Thankfully, you don't have to bother with binoculars or telescopes to fully enjoy the meteors, but you will need to give your eyes some time to adjust to the darkness before the height of the shower arrives.
The Leonid's 10 to 20 meteors per hour won't be nearly as spectacular as the 120 meteors per hour expected at the peak of the Geminid meteor shower in December, but the show is still special and historic. In fact, the Leonid Meteor Shower is what first led to meteor science, thanks to its tendency to put on ridiculously spectacular displays every 33 years. A particularly intense meteor shower produced more than 100,000 meteors per minute, leading some viewers to think the sky was on fire. Another particularly strong shower produced thousands of meteors per minute in 1966. The next big one will likely occur in 2032.
All said, the Leonid Meteor Shower is certainly worth watching, but you can probably get away with holding out for a bigger shower to set up camp somewhere out in the dark and cold. Oh, and you can always settle for watching a livestream of the show, of course.