I would get any weapon I can, mostly likely a bow 'n' arrow and a sword. But if I can't find them I would have a cannon strapped to a backpack and a shotgun. Kill Zombies as I go. Collect lots of Supplies. Find an abandoned Cabin in a forest and hide there for as long as possible. But if they found me I would run away find a human resistance and live through the zombie apocalypse. Maybe even invent a cure.
But knowing me I would probably die at the start from something stupid like a Cramp.
DEATH BY CRAMP!!!