The phrase "fluffy robes" refers to soft and thick clothing that people wear after taking a bath or before going to bed to keep themselves warm and comfortable. Full definition
Fluffy robes on the back of the door and disposable slippers in the wardrobe along with plenty of wooden hangers (I can't stand the plastic ones!) (sewchet.com)
Double spa baths & balcony hot tubs are common, as well as fluffy robes and massages. (cityofcairns.com)