I'd grap as much weaons and armor as I could possibly find and I'd try to reach my student society.
There's lots of food there and the doors are heavy so the sound of loud music doesn't reach the neighbours. This means that the building his hard to get into when you're not allowed.
Also there are several rooms that can be easily defenden including a upper floor with a narrow stairs leading toward it. Those stairs could be easily blocked so no zombie could climb them.
Weak point in the plan is that I'd need to cross the citycentre to reach this building
If I can;t reach it I'll try to head towards a group of student-apartments just outside the city. They're situated in a field and you can see any approaching hostiles from several hundred meters away. Also I have several friends living there so I guess I'd have a place to stay.
If I fail to reach that I guess I'd be dead already.