"Massage Parlour" or "Massage Shop"?
Some people use the terms interchangeably but as far as I'm concerned they are two completely different places.
"Massage Parlours" have been around for years and years. Despite the name, you're unlikely to get much in the way of a massage there. FS is what they exist for and expect to provide. You wouldn't take your mother or sister there.
"Massage Shops", by comparison, are relatively more modern. In the main respectable places. Ladies do go there for massage too. If you're lucky, and you've done your research properly, your masseuse might offer you "extras", e.g. a HE or B2B. Nothing is guaranteed because nothing other than massage is advertised.