1, 2. Furnish, appoint, equip all refer to providing something necessary. Furnish emphasizes the idea of providing necessary or customary services or appliances in living quarters: to furnish board; a room meagerly furnished with a bed, desk, and a wooden chair. Appoint, a more formal word now usually used in the past participle appointed, means to furnish completely with all requisites or accessories or in an elegant style: a well-appointed house. Equip means to supply with necessary materials or apparatus for some service, action, or undertaking; it emphasizes preparation: to equip a vessel, a soldier.

Did you mean underfur?