My wife and I will be spending New Years Eve in Munich this year and I hope someone can give us some suggestions for the following...

a) We arrive at 8am and we can't get in to our hotel (Hilton City) until after 2pm. What can we do to kill some time? Can we store our luggage at the hilton (skis, etc.)?

b) What should we do for New Years festivities? We would like to go someplace fun, exciting, and not overly fancy.