I think a zombie infestation is a good time to revert to some archaic types of polearms; a street broom can be good for holding two or three of the buggers (say, in a doorway, at a safe distance, or at least delay them. Poleaxes and billhooks have massive angular momentum, as would a heasman’s axe (with a giant heavy head for ensured decapitation). Failing that, armor up and use a greatsword/two-hander, which if it couldn’t dismember would at least destroy the zombies’ bone structure, and would do so faster than a club.
[EDIT]Here’s a question for you; what about <a href=“http://en.wikipedia.org/wiki/Boar_spear”>boar spears</a> or an <a href=“http://en.wikipedia.org/wiki/Ahlspiess”>ahlspiess</a>? Wouldn’t stop more than one zombie (unless you kebab 'em) but the wings/disc would prevent a zombie from advancing if he were hit in the chest, and hold him ready to be beheaded/dismembered.[/EDIT]
I would think that high-calibre ammo would be at a premium, especially if destroying the brains of zombies is necessary. Black powder would likely be the way to go; powder’s easy to make, clothing from past victims makes okay wadding, and the balls themselves are probably not too bad to make. Sure, accuracy and firing rate are lower, but ancient musketball were .50 caliber and above. That’ll ruin any braineater’s week.
Maybe a blunderbuss; that would allow you to improvise grapeshot, might pack more stopping power and would be more usable indoors due to the short barrel.
I’d want tower riot shields for teamwork purposes. Ideally any group I was in would have drilled in the use of the <a href=“http://en.wikipedia.org/wiki/Schiltron”>Schiltron</a>, <a href=“http://en.wikipedia.org/wiki/Tortoise_formation”>Tetsudo</a>, <a href=“http://en.wikipedia.org/wiki/Infantry_square”>Infantry Square</a>, and other variations on defensive tactical formations.
And anyone with a knowledge of engineering, siege engines or heavy construction and fortificaiton would be wanted. That would definitely help.
I also have an uncle in the Navy who knows how to make thermite; I should hit him up for the recipie.