private property vs belongings

private property and belongings both are nouns.

Word	Noun	Adjective	Verb	Adverb
private property	Yes	No	No	No
belongings	Yes	No	No	No

As nouns, belongings is a hypernym of private property; that is, belongings is a word with a broader meaning than private property:

private property: movable property (as distinguished from real estate)
belongings: something owned; any tangible or intangible possession that is owned by someone

Other hypernyms of private property include holding, property.

private property (noun)	belongings (noun)
movable property (as distinguished from real estate)	something owned; any tangible or intangible possession that is owned by someone