Private property ≠ personal property. Private property is mostly owned by businesses and corporations, not a person.

As we can see in the US, housing should never be private property, since the number of units that have sat empty for at least 12 months outnumbers our homeless population by a factor of over 70:1 counting all residential types (apartments, condos, duplexes.) If you only count single family detached homes, those still outnumber the homeless population by a factor of 30:1