This made me laugh
I'd take (from my house):
1) Katana - I have 8 and know how to use them
2) My multi-tool - I'm like MacGuyver with that thing!
3) Sunglasses - I've got everything I need already, so why not look cool?
As for where I'd go, it would be to the South of where I live into the countryside. Plenty to eat, clean spring water is bottled a few miles away and a choice of open fields or dense woodland close to each other. My first zombie kill will also be used to make a custom t-shirt, where I'll write in blood across my chest "No, I wasn't bloody bitten"