Hi and welcome,
Getting interested in vintage watches can be a great (and expensive) hobby but it is fraught with all sorts of possible pitfalls and risks. The reading you have been directed to above is all essential but you also need to know your own motivation. Buying a watch just because you like it, can afford it and not worrying too much about its provenance and originality is completely different to starting a collection and finding a collector grade watch.
In the case of the first example its pretty much go to a reputable seller and buy what you like.
In the second case you need to do lots of research if you you want to reduce the chance of paying "noob tax" - getting taken advantage if because of your inexperience. Most of us here have acted in haste at the early point of our purchases and ended up with a watch we have either overpaid for or are disappointed with once we have more knowledge - or both.
So read through forum posts, ask questions. Find out what a redial is and some ways to identify, what a polished case is, what information is inside the caseback, why you need a movement shot, the hands, Crystal's, crowns etc. etc. You won't become expert overnight but once you have the basics you will know better what to look for and what questions to ask.
All the best and Good luck
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