swelled head vs conceit

swelled head and conceit both are nouns.

Word	Noun	Adjective	Verb	Adverb
swelled head	Yes	No	No	No
conceit	Yes	No	No	No

As nouns, conceit is a hypernym of swelled head; that is, conceit is a word with a broader meaning than swelled head:

Other hypernyms of swelled head include conceitedness, vanity.

swelled head (noun)	conceit (noun)
an exaggerated opinion of your own importance	the trait of being unduly vain and conceited; false pride
	a witty or ingenious turn of phrase
	an artistic device or effect
	an elaborate poetic image or a far-fetched comparison of very dissimilar things
	feelings of excessive pride