Ahh, in that case, low encumbrance, kiting, and the knifespear are your friends! I can usually kill several zombies at once without taking more than a few hits that way, as long as I keep my movement speed above 95ish. You can make all the equipment you need for this in the starting shelter pretty much.
Then, kill them as you encounter them, don’t let them build up. The more dangerous specials should still be avoided if possible though.