private property vs personal estate

private property and personal estate both are nouns.

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

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

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

Other synonyms of private property include personal property, personalty.

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