Now now, think of your weapon choice their, do you know how difficult it would be to kill zombies with a sword?! You can't just go slashing, it wouldn't work. Do you know how difficult it is to cut through bone for gods sake, to use a melee weapon effectively in a zombie apocalypse you've got to think the practical other side of supposed "Bad-ass", anything sharp could get caught and break easily, anything too complicated could be difficult to handle, something you can replace, something that doesn't way you down, something you use quickly and effectively and most of all something that if it doesn't kill them will at least bring them down. My reccomendation, a smaller sized metallic baseball bat.
It's not the freaking Matrix ya know, if they are out to kill you and everybody else your not going to be admired for thinking your well hard. You'll survive for being clever. Racing out there guns blazing just warrants stupidity and all together a very short life span.
Bats, explosives, fire, barricades, supplies and shotguns are the only way to go. No macho shit.