Oozie with a big clip. Two lightweight semi auto handguns with big clips and a large caliber revolver.
Ammo will run out.
That's why you get a fire axe.
One of those spikes to the back of the head minimal splatter as opposed to a, say blunt object.
They won't be fast. Rigor will be affecting most of the new zombie population for the first few days and it should be easy to tell a 3 day zombie from an older zombie due to decay.
I personally will be wearing a gas mask of some sort to prevent entry from face orifices.
Hand wounds from running, jumping, scaling, and fabrication are almost inevitable. Surgical gloves covered by armored motorcycle gloves will be the way I choose., to prevent blood entry, through existing cuts and lacerations, while preventing further damage that may be acquired in combat, whether with the undead, or the living survivors.
Whether you believe it will happen or not, The zombie survival guide is a fantastic book, full of "information".