Hokay, so, here's the plan:
When planning for zombies, don't plan for Max Brooks' style zombies (slow moving, only want to eat brains, moan to alert others, yada yada). You need to prepare for zombies that could actually exist, like from a virus plague or an out-break of actual "human-rabies". They can run, they will eat anything they can. You can't tell me a zombie wouldn't eat a dog if it caught one. If you're talking about zombies with no heartbeat and dead rising out of graves, there's no hope because that's some biblical power there and no one can stop that mess...