with I Am Legend zombies I'd be fucked no matter what
with Walking Dead zombies I think I could manage. I'd snag a car, drive myself and a girl back home, pick up my two best friends and grab a baseball bat or two. Then I would go to the gas station, top off the car, and drive to the gun store in my town. I'd either buy a few of the guns, or, if the place is already in chaos, I'd just take them, and then I would drive out to my summer house on cape cod. On the way I'd steal/buy as much supplies as possible. Once there, I would stash the car at my house (1 minute walk from a private beach) grab a few supplies, and load the gear into kayaks that we own at the private beach. Kayak out to a sandbar island (basically just a giant area of sand above water that never goes below water) and build a little shelter out there or take over one of the 2 houses that are there (old sailor houses, they aren't currently inhabited). Then we would live there keeping watch over the whole sandbar.
When the time comes for us to get supplies 2 of us would kayak back (walkie-talkies for constant communication between the groups) and land on the beach. Not sure if we would go by night or by day but we would rationalize our decision when it came time to make it. Then, sneak up to the house, grab the car, drive to find supplies, return, and kayak back.
For the first like 2 months we would easily live off of just looting the houses around mine, then we would have to risk driving into Chatham or wherever.
