Food Supplies : For food supplies, since we're thinking zombie outbreak will not be taken care of in 1 or 2 days, you might need a lot of food and water. For food, take a lot of canned food that don't need to be cooked, if you could. Canned food have the longest expired date and easy to carry. Meat and vegetables? Do not take those, except if you have a fort or safe place. And if the meat and vegetables haven't expired already anyway. Snacks like potato chip, snicker, or chocolate bar could also help you, but if you have a big appetite it won't do much. But it's zombie apocalypse, who are you to complain. Water. Get a stock of a lot mineral water. You could use reusable bottle of course, but if the water is clean and not infected by the virus or anything.
Second is first aid. Of course, take a lot of medicine and first aid kit you could get! That will help you a lot. But if you have too much supplies to take, just bring the essential then, painkiller, antibiotic, some common fever or flu medicine, bandage, and i don't know the term in english, but its some kind of medicine to help you stop the bleeding or something. I think that's all the list for first aid, it could help your injury. Except if you're get bitten of course.
The third and last one is, other needs. First, clothes of course. I know this is zombie apocalypse, you don't have the luxury to have a bath. But changing your clothes once in a while is preferable. You don't want to get infected by other virus because of a dirty clothes, right? Oh, a few towels too. Not for taking a bath, but it could be use for a lot of thing. Substitute for bandage, to cover your body when its cold, or to dry your body if you fell into a fish pond. Pair of shoes, in case your current one is broken or you throw it at zombies. Flashlight and the batteries, matchstick, rope, hunting knife (work as a weapon too), hammer, walkie-talkie, and some fireworks if you want. I might forgot a lot of things and will remember it when I actually need it (This is really annoying), but I guess that's the common things you need in an outbreak.
Well, I think that's enough supplies to help you survive the zombie apocalypse. Next time, weapon and vehicle, but mostly weapon. I don't know much about vehicle. Okay, see ya!