The following list of supplies is based on this set of conditions:
-Zombies are "dumb", don't actively look for prey or break into places unless they know food is inside, also are attracted to sound and light, though light not as much.
-Zombies do not have to be killed with a headshot.
-Zombies are L4D-esque movement-wise, meaning they stand around or wander until prey is spotted, then they run.
-Zombies are not nocturnal, however they are less active during the day.
-Survivor-infected ratio is about 1:200. There are about 10 survivors per square mile.
-Regional Apocalypse: Statewide. Civilization exists outside of the afflicted zone, government sponsored extraction attempts are uncommon but do happen.
My supplies would consist of the following:
Cargo pants:
-Billfold
-Cell phone and car charger
-4x Ruger magazines
Bike with basket:
-4x Non-reporting/whistling/noisemaking roman candles
Backpack:
-Box of 200x .22 bullets
-.22 Ruger MK III Pistol
-1/2 pallet of bottled water
-Loaf of bread
-Box of American cheese
-First aid kit, taken from the car's glovebox
-Gauze
-Maul (for breaking down doors and stuff, not to use as a weapon)
-Hatchet (for chopping up kindling. again, not a weapon)
-Box of Matches and/or gas lighter.
-Swiss Army Knife
Serious Strategy
I would probably try to meet up with other survivors as soon as possible, seeing as people are likely to be more trigger-happy later in the apocalypse. Depending on how many other people I found, we would head to a grocery store (a lot, 4 or more people) or a convenience store (just a few) to hold out while we attempt to make a plan to get out. Ideally, we would eventually move to the police/fire station (in my town, they're right next to each other, don't know about other places), where we could use the emergency vehicle lights to possibly signal any air vehicles, as well as possibly use the radios to listen for anyone else out there. In dire situations, we could use the Thunderbolt 1000t warning siren to indicate that there are people still alive, although that would definitely alert the zombies. Since the Fire Department is right next to a parking lot, helicopters could easily land nearby.
In the event of a zombie confrontation, I would probably shoot for the legs. Zombies may not feel pain, but a broken leg is a broken leg. Pain or no, you can't walk on a shattered femur. Then again, I don't know how much power a .22 LR cartridge has, I only picked that because we actually have a box of them in our garage and I've shot a Ruger at a target range.
Outlandish, not thought out, and just because it's cool Strategy (not serious in any way)
I would get as many helpers as I can early off, and then we would head down to the fire department where we would heavily modify one of the Heavy Rescue vehicles with parts from the auto repair shops that are all over the street the fire department is on. Off-road wheels, makeshift armor plating, gun ports, everything. We'd also commandeer a police car to use as a distraction to pull zombies away from places. We'd modify that with all sorts of nasty sharp things to run over and cut down zombies, as well as somehow putting the tornado siren on it too. Once we have our rescue tank and our distraction car, we'd get weapons and ammunition from the police station (because police stations have armories, right?) and get ready to roll out and save other people until actual rescue arrives. What we'd do is once we find out where a person is stranded, we'd send the police cruiser in lights and sirens blazing to get the attention of the zombies and to make them chase the car. Then the rescue tank would pull up and clear out any remaining zombies so we could get the survivors out and get them medical attention.
