Amir, In Chapter 3 Section 6 titled “Brazing Equipment” on page 78 of your awesome frame building class manual is a list of part numbers from TM Technologies for all the equipment you need from regulators to the flashback arrestors to the check values that attach to your torch handle. Later in that list are also their part numbers for the Meco multi-port tips. They aren’t a discount supplier but they have all the right stuff starting with their lightweight hoses for us in one convenient location. I don’t mind paying standard prices from them. It is common that the cheapest web prices are not places that inventory stock themselves but rather have it dropped shipped from Victor or whoever. In your case that wouldn’t matter but it can be irritating for someone not wanting to wait a couple of weeks for their order.
On page 75 of my manual is also the Western Enterprises part numbers for American brass fittings if you are cutting off the end of a foreign (to us Americans) hose to convert one end to either a size A or B fittings. Western Enterprises is your source for all kinds of welding (and other) equipment fittings. They have drawings and pictures too. Well you can't buy direct from them but they are the source welding supply places use to get their fittings. If you give them the WE # they will know what you want.
Just so you know, oxygen fittings are standard right hand threads and fuel fittings have a hatch mark in the middle of a nut to indicate they are left hand threads.