warmth vs caring

warmth and caring both are nouns.

Word	Noun	Adjective	Verb	Adverb
warmth	Yes	No	No	No
caring	Yes	Yes	No	No

As nouns, caring is a hypernym of warmth; that is, caring is a word with a broader meaning than warmth:

Other hypernyms of warmth include lovingness.

warmth (noun)	caring (noun)
a quality proceeding from feelings of affection or love	a loving feeling
the quality of having a moderate degree of heat
the trait of being intensely emotional
the sensation caused by heat energy
a warmhearted feeling

warmth (adjective)	caring (adjective)
	feeling and exhibiting concern and empathy for others