teahouse vs eating place

teahouse and eating place both are nouns.

Word	Noun	Adjective	Verb	Adverb
teahouse	Yes	No	No	No
eating place	Yes	No	No	No

As nouns, eating place is a hypernym of teahouse; that is, eating place is a word with a broader meaning than teahouse:

Other hypernyms of teahouse include eatery, eating house, restaurant.

teahouse (noun)	eating place (noun)
a restaurant where tea and light meals are available	a building where people go to eat