As a public service I am going to provide you with my top 5 things to remember when fighting a zombie.
1. Don't !
Whenever possible avoid a melee situation. Kill the zombie from a safe distance with a bow and arrow or a bullet to the brain works nicely as well.
2. Take out the legs
If a head shot is not possible the legs are the next target. Taking out the legs will greatly immobilize the zombie allowing you to get closer for the head shot. It will also prevent the zombie from chasing you if you are in a need to escape situation. If you can't outrun a crawling zombie than you deserve to get eaten.
3. Have the right weapon
A zombie has no central nervous system so stealing that dead police officers Taser is going to do you no good. Pretty much anything that can be used to bash its brains in will work. A long sword is maybe the best weapon as it allows for enough distance to kill without being touched and it does not require ammunition. A gun is also ideal as it can be used at long distance and is quick and simple but be sure to stock up on the right ammunition for your gun of choice. Close range fighting is dangerous but a knife to the head is good. A baseball bat to bash in the brain works. Even a common rock can do the job but it should be a last resort weapon. It is the zombie apocalypse here folks you should not be left with a rock as your only weapon! Remember that.
4. Gear up
Unless you have a some sort of zombie proof fortress you are going to be doing a lot of traveling. Make sure you have the right gear. Supply bags that are easy to carry are key as you may need to abandon your vehicle if you run into a blocked highway. If you happen to find a store that supplies military gear....that hasn't been picked completely clean....grab some armor, bullet proof vests or anything that is used for combat will help if you have to pass through a city with a large zombie population. Good walking shoes would be comfortable but boots would be the best choice because they can be used to kick in a skull if necessary.
5. Remember they are contagious!
Although the virus is not airborne.....otherwise you would be dead......it is contagious. It is spread by entering into your blood stream so avoid that if you can. It is wise to disinfect yourself after an attack. If any zombie brain matter is splattered on your clothes you would be wise to burn them. If blood or brain matter is on your skin disinfect immediately and cover open cuts or sores so as not to become inadvertently infected.
Well there you have it. I hope this helps in your preparation.
Have a great weekend!