It really all depends on the capabilities of the zombies, for me.
In any case, I would always be on the move. Seeing as it probably wouldn't be particularly safe to remain in one spot for too long. But, I would stay stealthy. Thinking about my every movement. Staying alert.
I would always have a weapon handy. A large, sturdy melee weapon (Bat, Shovel, etc...) for silence. A knife, more as a tool than a weapon. Guns wouldn't be too high on my list because they are loud and can attract more zombies, but they are a necessity. A pistol for portability. And some high-powered automatic weapon, for tight spots when I would have to take out a lot of zombies all at once. Of course that brings up the problem of ammunition. But I think if I plan ahead to avoid being trapped in a sea of zombies, I wouldn't need to use it as much. I would like to use my guns as little as possible.
I would probably either: search for some sort of human salvation, or journey to find my family (whether or not it is a lost cause) who live quite far away. Mostly to have some motivation to keep surviving. And should I lose my will, I would save one bullet for myself.
That's basically it.
Not very detailed, but it's a start.