hand cream vs ointment

hand cream and ointment both are nouns.

Word	Noun	Adjective	Verb	Adverb
hand cream	Yes	No	No	No
ointment	Yes	No	No	No

As nouns, ointment is a hypernym of hand cream; that is, ointment is a word with a broader meaning than hand cream:

hand cream: moisturizing cream for the hands
ointment: toiletry consisting of any of various substances in the form of a thick liquid that have a soothing and moisturizing effect when applied to the skin

Other hypernyms of hand cream include cream, emollient.

hand cream (noun)	ointment (noun)
moisturizing cream for the hands	semisolid preparation (usually containing a medicine) applied externally as a remedy or for soothing an irritation
	toiletry consisting of any of various substances in the form of a thick liquid that have a soothing and moisturizing effect when applied to the skin