Utahraptor, while i do admire anyone who has the dedication to pursue any martial art long enough to be good at it, i'm of the opinion that you dont want to engauge a zombie in hand to hand combat. From what I understand of them, the only way to stop them is to bash their brains in or separate the spinal column from the neck. While I dont doubt the fatality of many martial art techniques, are you so sure of your ability as to be able to crush a skull or sever a head with your bear hands in ONE attack (i doubt youd get more than one if youre under siege )? Keep in mind also, in most of these scenarios the zombieism is passed through fluid exchange or bite wounds. I dont think you would want to put your hands or feet anywhere near the mouth of a zombie, or risk cutting your skin on a piece of shattered skullbone and gaining infection that way. At the least, do the rest of us a favor and use a weapon so we wont all have to contend with "Karate Zombie" should you happen to fall!
A lot of high calibur guns, while great for stopping normal humans, wont have the same kick against zombies. You want a gun that has the power to penetrate and cause massive damage, but not so strong as to completely punch a clean hole straight through without doing more than creating a "whistle hole". Also, bodyshots wont do much against a zombie, since their organs are doing little more than adding to their smell. A shotgun is good for crowd suppression, since it is a powerful spread blast that will push a few back, but unless you aim at the head, they are only delayed a few steps.
I agree with the sword idea, if your good at them. A well trained, powerful katana swing would be paramount to just about any other melee attack since the katana was intended as the ultimate "one swing, one kill" weapon. Otherwise, it'd be like trying to cut a steak with a spoon if you dont know what your doing! Thats why, as a kung fu layman, i would go with a bat or, for more range, a shovel. Besides, you could also decapitate a fallen deadite with the shovel's blade, or at least dig your own grave if the situation gets bleak.