421 days!!
First of all i'd look after food, water and weapons.
for weapons i'd try to collect a quiver consisting of
a stealthy weapon such as a compound bow
a zombie annihilator, in other words a 12 gauge shotgun
a katana for close quarter battle or whenever my ammo runs out
and a magnum 500 smith and wesson simply because it's badass to draw one of these and blow a zombie's brains out ...
Second
i'd start looking for a vehicle, preferably a truck, maybe an abandoned military vehicle of any sort... anyways, this would become my operations base, it's sealed off and will protect me from zombies, in the event that zombies do attack me while i'm sleeping in my vehicle i can simply run them over and drive away or i can engage them from within the vehicle, or ideally from a turret mounted machine gun ...
i'd try to live stealthy and stay away from other people, at most i'd team up with my gf or something but that's it, more people simply attract more zombies....
in the unlikely event that i do get my vehicle stuck, broken or out of fuel and surrounded by zombies, i'd bring out the old and trusty katana and start chomping zombies !
if i still find myself overpowered and i have no way out, i think i'd kill myself and a dozen of zombies with a suicide handgrenade ....