Where to Jog if Walking Dead Happens by Ron and Veronica Burgundy
First things first. Yog, don't walk, to safety.
To the Zombies: you won't be invited!
It's just too much fun.
I know the show is about relationships among stressful situations, but it's too much fun for me to think of how I'd make it less stressful. Number one, get off the ground, out of the woods, into a well-defended structure. Look, the prison didn't work out in the end, but it was a great start until, you know, 'ello, guvna.
Also, I like to put voices (usually with british accents intertwined with songs) to the zombies, to explain what they're doing, like asking for directions, or complimenting them on their nice car. E.g.
"Pardon me Sir, but is that a Hugo Bos-UUGH (you know, whoosh/bang).
Traditionally Well-Defended SitesClick thumbnail to view full-size
You don't have to be a Spartan
But against Zombies, the Spartan weapons, armor, and tactical moves are about perfect. The 300 (plus) defeated 100,000 or so "immortals" far more able-bodied than walking dead Zombies, in just a few days. They could cleanse an area effectively, you could learn a lot from the mighty Spartans.