Abstract: A cleaning system has a suction source intaking air through an extractor hose with an opposite end at an intake vacuum head configured to remove material from a surface to be cleaned, so that the suction source draws air and the material in through it and through the hose. A hose cover around the extractor hose comprises an elongate piece of material with first and second lengthwise edges that each has a side of a zipper. The zipper sides co-act so as to releasably secure the edges together with the cover surrounding the extraction hose. The cover is of insulating material that protects a user from contact with the hose when hot and also prevents the hose from damaging nearby objects. multiple hose covers can be connected in sequence by male and female connecting ends to cover a lengthy hose.