This ain't no nuclear holocaust. We cannot prepare in the same way as such. We can't go with our neighbors shopping, laughing about the impending doom, not actually thinking it'll happen. Because this will happen. And we don't know who will be a zombie or what information from their past life the will retain. We must assume the worst, and that they may retain information about you. Similarly, in the event of the impending doom, sanity can and will fly out the window and fellow humans may resort to attacking each other. NEVER TELL ANOTHER PERSON WHAT YOUR APOCALYPSE PLANS ARE.
PRIORITY ONE: Safety

Build yourself a safe zone.Build it safe enough for several human-sized objects to be hurled at it without moving. Make it impenetrable to claws, bites, crowbars, vehicles, meteorites, earthquakes, tsunamis following earthquakes, monsoons, alien attacks, airborne syphilis, and just for shiggles, rabid bunnies. A large concrete dome with a steel door sounds about right. Preferably underground. Deep underground. Somewhere no one knows. No one. Like that cave you found with your buds that have all moved away since then and have died and/or have amnesia.
PRIORITY TWO: Food

Now, Tallahassee from
Zombieland may have had an undying and scary affinity for Twinkies, but they are not the best food to save up. Twinkies are high in fat and sugar and other bad things. However, fruits, veggies, and other assorted healthy things will spoil and go bad, and could possibly be detrimental the the virus-ridden Zombies anyway. What you need to something with enough preservatives to be edible for a very long time. Similarly, you do not want preservatives to get into the zombies, and preserving their flesh will probably prolong their lifespan and therefor shorten yours. By both harding preservatives and eating them, you will increase your chance of survival. STOCK UP NOW.
PRIORITY THREE: Defence
Weapons. Lots and lots of weapons. Bludgeon weapons are the hardest to hurt yourself with accidentally, and require the least amount of training. Guns are nice for range, but will always run out of ammo eventually. I'd advise a nice bat, mace, or sword, if you can find one. Keep it sharp.