If I had to fight zombies, I'd stay in a thick-walled place with no more than one exit.
I'd likely not have access to(or ability to use) military-grade weaponry like you all probably fancy you'd have, so I'd probably have something common like a crowbar, perhaps a monkey wrench.
Maybe a fire axe if I could get my hands on one, there's a fire station not too far from where I live.