rabbit vs fur

rabbit and fur both are nouns.

Word	Noun	Adjective	Verb	Adverb
rabbit	Yes	No	Yes	No
fur	Yes	No	No	No

As nouns, fur is a hypernym of rabbit; that is, fur is a word with a broader meaning than rabbit:

Other hypernyms of rabbit include pelt.

rabbit (noun)	fur (noun)
any of various burrowing animals of the family Leporidae having long ears and short tails; some domesticated and raised for pets or food	dense coat of fine silky hairs on mammals (e.g., cat or seal or weasel)
flesh of any of various rabbits or hares (wild or domesticated) eaten as food	a garment made of animal pelts or synthetic fur
the fur of a rabbit	the dressed hairy coat of a mammal

rabbit (verb)	fur (verb)
hunt rabbits