post office vs local post office

post office and local post office both are nouns.

Word	Noun	Adjective	Verb	Adverb
post office	Yes	No	No	No
local post office	Yes	No	No	No

As nouns, post office and local post office are synonyms defined as:

post office and local post office: a local branch where postal services are available

post office (noun)	local post office (noun)
a children's game in which kisses are exchanged for pretended letters	a local branch where postal services are available
a local branch where postal services are available