The number one cause of death when the undead infection starts is from bites. People won’t immediately understand what is going on, and they will get bit, and then turn. This cycle will repeat through houses and hallways across the nation until a critical mass of infection takes place and the fight spills out onto the streets.
The best way to survive those first, very dangerous times, is to be prepared. Bite resistant clothing will give you the ability to make one mistake and still survive.