Just so we're all on the same page on what kind of Zombie we're talking about, I'll draw out this quick list. When you're talking about your survival plans, just preface it with one of these four titles. (Oh, and if I left something out, remind me.)
Rotters or Zeds (Night Of The Living Dead/ Dead Rising)are the lower end of the danger scale. Their slow, dumb, but tough as hell. So long as they still have their jaw and brain, they'll still bite. If you tear them in half, they'll keep crawling. Patheticly easy to run from though, and lack the knowledge to preform basic tasks such as climbing objects or open doors. Fire is not recommended except at extreme rangers, as the zombie won't be dealt with until the fire burns through important ligaments or destroys the brain.
Ragers or Infected (Left 4 Dead, 20 Days/Weeks Later) are lower med tier and very dangerous. They're major organs (Such as heart, and lungs) still seem functional, and this allows chemical warfare to work as well as making chest shots far more viable. They can sprint in hordes however, making the 'run and gun' tactics that work well on Rotters nearly impossible on foot. They're smart enough to climb, but are also stumped by doors. Fire very effective. Waiting until they starve seems to be a viable tactic.
Runners ( Dawn of the Dead(Remake)) These zombies combine the speed of the Ragers with the physical toughness of the Rotters. This includes immunity to starvation and resistance to fire. Incredibly dangerous.
Necromorphs, Crazies, T-Virus, Los Plaguas, and Xenomorphs all also fit the basic "Everyones dead and you have to survive the baddies!" theme.