Do you mean "private property" or "personal property"? These are not the same thing, and those who want to scaremonger about non-capitalist modes of production like to conflate the two.
You've never heard someone say "under communism, private property isn't allowed, so you have to share a toothbrush?" I heard that nonsense all the time growing up.
Your toothbrush and clothing are personal property. The family farm is private property.
