The problem with the "I'm gonna hide out in Walmart" plan is that EVERYONE has that plan. It's not sustainable, and it could, in fact, prove to be a lot of folks' violent and untimely undoing.
(I'm sorry, I'm writing my own zombie apocalypse story, and I've been doing fucktons of research about zombie plans and such. XD)
Anyway: My zombie plan.
-Find effective melee weapon. (I have never handled a gun before, but I've been trained to use a lot of heavy tools that would make excellent melee weapons--such as rock-bars. Perhaps using a melee weapon would be slower or less badass than using a gun, but it would be safer, in my case.)
-Fight only small groups or single zombies, run when confronted with larger groups. (I'm only one person, and I wouldn't take my chances in trying to take on enormous groups alone. That's just tempting fate.)
-Seek the company of other survivors. (As badass as being a lone survivor sounds, it's also not a good idea. You have to sleep sometime. You have to stop to eat sometime. You have to go take a crap sometime. You need someone to keep an eye on things while you take your breaks.)
-Find a decent place to live, preferably on arable land near a river or a big lake. (Who knows when or if society will be back up and running? The food in the grocery store might have been looted, and whatever's left will certainly spoil someday. Best to try to cultivate a home garden and fish for the time being. Gardening is actually my hobby, so I would like to make myself useful and help to grow food for my fellow survivors.)
-Be careful and practical in my actions, so I don't get injured and can live that much longer. I would also try to be positive and polite to other survivors. As stressful as the situation would be, it would be better to try to get along with whoever's left.
-Study up on needed skills--refreshing my wilderness first-responder training, or outdoor medicine, or how to build effective defenses or use old-fashioned communications (like Morse code or CB radios or whatever). Stuff like that.
(Like I said, I've been writing my own zombie apocalypse story, so this sort of thing has been on my mind lately. XD I don't know if any of this would be of any help to me, but it would certainly be worth a shot.)