Hahnenkamm....

Hey everyone.
I'm trying to book hotels/hostels/whatever I can get now! I just wanted to know, as Kitzbuhel seems to be almost booked, do the ski lifts run as normal during hahnenkamm week? Thinking of staying near by jochburg and heading across in the morn on the lifts...
Any other advice welcome about it! Or if anyone has any accommodation they want to rent out :D Feel free to let me know!!!
Thanks all,
katie