From Longman Dictionary of Contemporary Englishupholstererup‧hol‧ster‧er /ʌpˈhəʊlstərə $ -ˈhoʊlstərər/ noun [countable] someone whose job is to cover chairs with material
Examples from the Corpus
upholsterer• Nineteen fathers were in woodworking trades, all of them in conventional skilled trades: joiners, upholsterers etc.• Our interior design company offers a complete making up service and we have our own upholsterer on the premises.• The originals were removed and retained by the upholsterer employed to carry out this work.