family Picidae vs bird family

family Picidae and bird family both are nouns.

Word	Noun	Adjective	Verb	Adverb
family Picidae	Yes	No	No	No
bird family	Yes	No	No	No

As nouns, bird family is a hypernym of family Picidae; that is, bird family is a word with a broader meaning than family Picidae:

family Picidae: woodpeckers
bird family: a family of warm-blooded egg-laying vertebrates characterized by feathers and forelimbs modified as wings

family Picidae (noun)	bird family (noun)
woodpeckers	a family of warm-blooded egg-laying vertebrates characterized by feathers and forelimbs modified as wings