The Instapundit and Say Uncle have provided sage advice regarding Zombies. However, they don't really address the psychological issue of surviving Zombies when they are your children.
I recently came home to these three.
And here is what one did to the mad scientist who 'created' him.
The curious thing is I actually have a less violent reaction to my kids when they are zombiefied than when they are just themselves. Wierd.