You'll have plenty of time to see the Moon and Venus, but you'll have to look very soon after sunset to see Jupiter and Mercury.
By the way, Neptune will be just to the lower right of Venus, and almost directly beneath the Moon, about twice as far from Venus as Venus is from the Moon. Unfortunately, you won't be able to see Neptune without a telescope, and it is so far away that even in a telescope it looks like a faint blue, slightly swollen star.
As a bonus, at Midnight, Saturn will have risen and will be low near the horizon and due East below the constellation Leo the lion.
Happy New Year! Be safe, have fun, and remember to go outside and look up.
-Steve Nipper, Manager of Planetarium