handbill vs advert

handbill and advert both are nouns.

Word	Noun	Adjective	Verb	Adverb
handbill	Yes	No	No	No
advert	Yes	No	Yes	No

As nouns, advert is a hypernym of handbill; that is, advert is a word with a broader meaning than handbill:

handbill: an advertisement (usually printed on a page or in a leaflet) intended for wide distribution
advert: a public promotion of some product or service

Other hypernyms of handbill include ad, advertisement, advertising, advertizement, advertizing.

handbill (noun)	advert (noun)
an advertisement (usually printed on a page or in a leaflet) intended for wide distribution	a public promotion of some product or service

handbill (verb)	advert (verb)
	make a more or less disguised reference to
	make reference to
	give heed (to)