First, Welcome to the club! I'm old and my very first razor, (I still have it and shave with it), is a Gillette slim Adjustable that I've been using for 50+ years.

There is a seemingly a lot to learn about DE shaving. And your Daddy and Grandpa can't teach you about it anymore. I'm going to recommend you peruse Badger & Blade. They are very welcoming to everyone about "wet shaving" as they refer to it. And they are more than happy to guide you on your way to a happy shave that fits your face. Warning: RAS (Razor Acquisition Syndrome) is a real thing. And you can quickly find yourself with a stable of different razors and an addiction of wanting ALL the razors.

The advice I will give here are 3 things.

While I'm proud of you for venturing into a better shave, your first razor is a TTO (twist to open) and cheap ones tend to fail very quickly. I would tell you that a 3 piece razor is far sturdier and longer lasting and not much more expensive considering they can last a lifetime or more. If you search Amazon for 3pc safety razors you can find them. QShave is pretty good (I have one of them) and the Parkers are a staple. But pick the one you like.

Razor blades are very much a YMMV that depends on your razor and face for the best and most comfortable shave. And you will need to get some sample packs to try different brands and blade types. So don't buy 100 of them until you know what you like and don't like. Badger & Blade can get you started and someone may even send you a few of their favorite blades to try because you are new, and they want you to succeed.

To get a BBS (baby butt smooth) shave mostly requires you to do more than one pass depending on your beard type. Generally for the closest shave, 3 passes are done. First pass is shaving downwards. Second is across the face. And the third is upwards. You may even need to retouch certain areas of your face also. I do that if I need that BBS shave. But it's up to you to decide how many passes you want to do when you shave.

Bonus: Shaving with brush and soap.

You do NOT need to go this far. But you will eventually be lather curious. Know that there are good vegan choices in brushes and soaps. There are some very excellent synthetic brushes that rival the finest badger hair made, and they are not expensive. And while tallow based soaps are often the grail for many shavers, there are very good vegan approved soaps too.

Good Luck in your journey!