Upholster

v. t.	1.	To furnish (rooms, carriages, bedsteads, chairs, etc.) with hangings, coverings, cushions, etc.; to adorn with furnishings in cloth, velvet, silk, etc.; as, to upholster a couch; to upholster a room with curtains.
n.	1.	A broker.
	2.	An upholsterer.

Verb

1.

upholster - provide furniture with padding, springs, webbing, and covers

cabinetry, cabinetwork, furnish, provide, render, supply, upholsterer, upholstery