I'm not gonna bother "tagging" spoilers in here, because I'll likely end up accidentally leaving one in there and people will get mad. Just know that there ARE some.
The thing that's always bugged me about the walking dead series, and really most zombie apocalypse things, is people find a group of people... but then never sit still with it. Why? There's no reason to keep moving. Find a town, buckle down and then clear that shit out.
In the comics, Rick tries that at one point with a prison. It ends badly for reasons I won't go into, but he still tries - It was a good idea. But clearly this isn't the only route to go by. Look at Crawford - They survived for AGES until one crazy pregnant woman went on a shooting spree through the town. And really, as long as you don't try to implement any idiotic "no children, or sick, etc" rules, thereby ensuring that your people only survive one generation, you shouldn't have this problem.
The dead have huge numbers, but beyond that they're slow and stupid. Get your group together with some bladed weapons, clear out a small patch of town (preferably somewhere with a building you can fortify that is big enough to house a lot of people, like a hospital [bonus if it still has beds and/or medicine]), and then push outwards from there. Will the dead ultimately try to push you out? Yes. But that's why you keep fighting.
I don't understand the concept of constantly moving from one place to the next. Why? The only thing that could EVER accomplish is finding new people, and let's be honest - that's not always a good thing. No, the best plan of attack in a situation like this is to REBUILD. If you die trying? Fine. At least you died taking a bunch of zombies with you. But truly, I don't think you will. If your group has at least, let's say 5 or more people with you, you should be fine for at least a while. And once you get yourself set in, people WILL find _you_. And if they don't? Send out scouts, find some. Place flyers around the place, who cares?
Anyway. That's just my rant here. Thoughts, anyone?