This is why we have the zombie survival thread mate.
But I would probably NOT go to Wal mart or large stores. Looter's will already be there, people would've taken stuff. Instead, since im on a coastal fishing town, I would probably get a boat, while scavenging for supplies, get harppons, and fishing supplies, and a water purifier (there is tons on the docks, used for cleaning) steal one, take it on the boat, grab pots, pans, lighters, and probably a hatchet, which i could find easily on the docks, and then I would go out to sea. There is some islands off the coast, and they are sparsely inhabited, and not many people would go there, since the currents there is dangerous, and it takes a skilled navigator to channel through( lots of reefs)
In that way, I would probably eliminate the zombies one by one on one of the islands, and some have livestock as well, and wells, and a a few houses on their hamlets, and I would basically stay there for as long as possible. Plus this boat, It would be a typical, small motor boat( you need keys for trawlers)
But there would be oars in the boat as well. So you could probably fish off the shore to get food besides the livestock, and im set.
THIS BELONGSI N THE ZOMBIE SURVIVAL CLUB.
Oh and one more thing. Like everyone, have a panic attack.