Don't understand why you would be bumped from the flight tomorrow.
ITN does not show any goose eggs for any flights from LAX/SFO/DEN-HNL (don't know your departure city).
I would first check your itinerary online to see if you really did get bumped to 1/2/04 and if you did, call UA back and demand a reason.
If the reason doesn't work, ask for compensation for your hotel room...
Unless you're some sort of security risk on the 1st, I see no reason to bump you off any of the flights on the 1st. If the flight that you're on is somehow oversold (and I doubt that), you should be able to reroute yourself on flights that should be more suitable for you.
Lastly, this question should be asked on the United board and not on MileBuzz.
Welcome to Flyertalk!
aloha