First I'd use boxes of items I'm not gonna use to help barricade the doors. Then grab some of the Hand Charge Pig Flashlights. So when the power goes I've got something to help me see. Im good on food since I have Raman, like the Din Din Fuk Chow and Hello Lazy. (Don't have to cook it to eat it) and I've got plenty of energy drinks and Tru Blood Beverages to wash it down with. I also have some Stay Puff Caffinated Marshmellows to help keep me going, so I can ration out the other energy drinks. I can use the hand sanitizers, like the germaphobe one, to help since running water might become an issue, and I don't want to get all germy. After changing into some new Instant Underpants, cause come on it's the zombie holocaust, I think I'm gonna need a new pair at that point, I'm gonna climb up on the roof with my Slingshot Pens and Using the lightening letter openers from the Butt Lightning as ammo Im gonna start taking them out one at a time. Im also gonna take some of the Swear Bear Plushies and throw them off the roof to help distract the zombies from my location.
And I'll be keeping a container of the Resident Evil Outbreak Mints in my back pocket, just in case some other unfortunet humans happen to find their way to my lonely outpost and we need to work on repopulating the earth afterwards.

If i win I want a deck of the silver playing cards.