Within the context of criticisms of capital, private property expresses a meaning that may be unexpected based strictly on a vernacular interpretation.

Whereas personal property refers to property that is used directly and personally by its owner, private property refers to property that is used by someone else, or another group, such that the owner may profit from asserting private control over such resources despite that they are useful for society or to others.

Businesses and rented properties are private property.

A house someone owns and occupies is personal property.