in a zombie populous being mobile is the most important, a big truck would be the best......you need a safe place to sleep, plus you could have a hatch opening the roof so you use air powered weapons and flame devices from an elevated perspective, this means more kills.
for hand to hand i'd say the sawed-off-shotgun would be the most effective, plus it's easy to load shoutguns shelves yourself, this also opens up a variety of ammo loads.
a sharp machetti (sp?) would be good to have too.
i've been playing the evil dead game on my ps2, if you don't have it you need to go pick it up........
the chainsaw and shovel are fun....plus ash taunts with the triangle button......like...."i just found a cure for ugly"