Haven't any of you ever played Diablo?
Blunt weapons do more damage to the undead versus edged weapons!
Use the ol' "Bop em 'n' stun em then run like hell" technique.
Maybe a nice polearm or staff with some reinforced impact points would be best. Either that, or a single steel mace and a sturdy shield. Maybe a pair of maces..?
Blunt all the way though. Cripple them and leave them in a heap which can be safely ignited later. If you use a blade, you end up lopping off stuff that may be able to crawl away and hide. That's no good. You want to be able to keep them where you drop them.
Method of zombie neutralization:
Wear a mask covering your face. Rubber suits are cumbersome but if you get zombie ick on your bare skin you'll wish you had one. A bright colored cape and jumpsuit isn't really helpful, but denotes you as one of the "good guys" to other non zombies.
1.) Break one leg. Don't matter which, they're slower than you. Use a long heavy stick with a hard sweeping motion aimed at the knee. If you're strong enough, you can break both legs with one swipe. If so, skip #2.
2.) Break other leg. They're on the ground and helpless, drop the long stick and use a hammer, axe handle, baseball bat, etc, to break the other leg. Break it at the knee as well.
3.) Use weapon of choice to break the arms at the elbows as the now prone zombie tries to crawl toward you. Getting them from the side as they reach for you is very effective.
4.) Use weapon of choice to now pulverize the hips and shoulders. This renders the zombie virtually immobile which is our initial goal.
5.) use weapon of choice to smash the head and torso. Do so until the mass is left quivering. If it appears it can still move around, beat it some more. You can never be too sure.
6.) Acquire a supply of flammable liquid and soak the zombie thoroughly. Leave a trail of fluid off and away from the zombie for at least 25'. This will act as a fuse and is very important.
7.) Drop a match on the end of the fuse trail opposite the zombie. Then run like hell away from the fire. You don't want to breathe that smoke. It isn't harmful but it tastes and smells really bad.
For multiple zombies, deal with them the same way. Try taking them down one at a time. Make sure to keep count, you don't want any getting away.