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.
Your toothbrush and clothing are personal property. The family farm is private property.
The family farm would only fall into that category if youre employing others for profit.
If you're working yourself on it, there is no real social function to it.