Here is an educational film from the 1950s about protecting your home and family in the event of a zombie attack.
It shows how rather naive we were two generations ago. Ripping off a zombie's arm and beating him to death with it? Good luck. Only a severely necrotized zombie will have such weak tissue that you can easily pull its arm off, and that same arm will almost certainly be too soft to serve as an effective bludgeon. I understand Billy's idea that the close confines of the kitchen made swinging the baseball bat challenging, but the end of the bat could have been an effective jabbing weapon against the zombie.
UPDATE: Bad link fixed.