personal estate vs private property

personal estate and private property both are nouns.

Word	Noun	Adjective	Verb	Adverb
personal estate	Yes	No	No	No
private property	Yes	No	No	No

As nouns, personal estate and private property are synonyms defined as:

personal estate and private property: movable property (as distinguished from real estate)

Other synonyms of personal estate include personal property, personalty.

personal estate (noun)	private property (noun)
movable property (as distinguished from real estate)	movable property (as distinguished from real estate)