When the zombie plague begins there are a few things you'll need: Shelter, Weapons, Food, and Vehicles. When acquiring these items you need to use speed, agility and above all your brains. Shelter The first thing you'll need is shelter. You can't run forever! Below are the best areas of shelter you should look for.  

•  Heavily Fortified: This would be any government or military installation. These would provide the best provisions, support, and armaments.
•  Medium Fortification: This would be a large structure such as a warehouse or any large reinforcible building. You'll have to provide your own protection and supplies. These structures are hard to breach even if the dead have large numbers storming the structure. The common problem with these fortifications is the occupants usually get trapped inside unable to replenish supplies and food.
•  Light Fortification: This is the second least desirable structure. If you are smart and heavily armed you have a fifty-fifty chance of survival when in one of these structures. A light fortification is usually a house or a single story building.
•  No fortification: Oops! You messed up!! With no shelter the only chance for survivability is to constantly be on the run. If you have a heavy vehicle such as an APC (Armored personnel carrier) or a tank you should be able to make it. Without one of these vehicles your chances are extremely low.

Weapons One of the first things you’re going to need are weapons to fight the dead. These are all classified from least effective to the best possible protection.  

•  Blunt: Well the old Louisville slugger or Rawlins is good for a baseball game but that’s about it. After fifty swings you'll be tired and that's all she wrote!
•  Bladed: With these you have a chance with items such as a sword or machete but if its a kitchen knife your chances just went down!
•  Small arms: Ok the survivability just dramatically went up. Any pistol or rifle preferably automatic; are the best chance of making it. If you keep your supplies up and keep the equipment in operating order there should be no problem.
•  Heavy arms: These are the big military items. Cannons, Heavy machine guns should be able to turn any shelter into a fortress.

  Vehicles

•  Military: Tanks, APC’s, Hummvees, Infantry Fighting vehicles are all the best chance of making it without shelter. These vehicles can’t be breached or turned over. They can move through buildings and many other structures making it a rolling fortress.
•  Commercial: Trucks or construction machinery are the second best vehicles to use. Some are almost as strong as the military vehicles and are almost unbreachable.
•  Trucks: The heavy trucks like freighters are the second least chance of making it but due to the large size and bad maneuverability you should use something else.
•  Cars: You are not going to make it in one of these. You have the speed and maneuverability but if you get stuck in a crowd the car can be easily turned over and breached.

Food Go for the stuff that will last for a long time such as spam or other canned meats. Can foods and liquids are all foods that can be carried anywhere with no contamination. They usually have long shelf lives and can be found in any store. The first thing you should try to get should be a water purification kit. After a month all forms of tap water will be contaminated since the waste treatment plants will no longer be running.