The Pocket Sized Zombie Survival Kit!

Step 8: Antibiotic ointment

A small first aid kit sized tube of Neosporin or the generic equivalent will help with the healing and prevention of infection in non-bite wounds. The last thing you need after you've successfully fought your way through a horde of ravenous ghouls is to find the cut you got on your leg from scaling a chain link fence has turned gangrenous. Self-amputation won't be easy, and a one-legged man will be an easy target for even the slowest of shambling undead.