Keep in mind that it could be very cold outside. My local friends and I usually take a hiatus from DG this time of year. Today it was about 40 degrees outside, and in January it's usually colder... possibly in the 30s even at noon.
So if you do play, be sure to dress warm.
Some info on LV disc golf including course maps: Casey's Las Vegas Disc Golf
I play at Sunset Park and Mountain Crest Park. Sunset is closer to the Strip, right near the airport. But Mountain Crest is an easier course for beginners with shorter holes and fewer trees and obstacles to worry about.