Yeah... save money. Sure. You will
IF you don't contract a RAD.
RAD is very contagious and the simple fact you have posted here means you have very likely caught it already.
RAD - Razor (and other shaving equipment) Acquisition Disorder.
If you can manage to avoid CAD, yes, you'll save money. Straight razors (cut throats) are cheap in the long run (since all you do is just keep it sharp) but expensive to set-up. They also have a long learning period (most agree 100 shaves) before the shaves are considered really good and irritation free so be warned. A lot of folks give up on straights too soon because of this. Don't let this put of you though... they are well worth it.
So, ignoring RAD a good, but cost effective set-up to last you decades might look like the following and includes my personal bias. I am no expert, and there are literally thousands of options! This just a list as an example.
Soap: Tub of Shaver Heaven $20 (plus postage). You only have to say the word "Lather" and you get world class glide and protection. Not sure how long this would last and I doubt anyone has used just one soap exclusivly! Maybe three months of daily shaves? Depends on how much you use each save. Some folks (me) load way more than is required because soap is cheap and I don't want to run out mid shave.
Brush: Semogue 820 - $27 from Shaver Heaven (or other places but buying the soap at the same place saves on postage). Excellent brush but it will be a little scratchy for the first 20-30 shaves when it become awesomely soft and sublime.
Razor: Friodur INOX NOS (New Old Stock) - $50 to $100. PM Mark as mentioned earlier and he will make a recommendation but this is a good priced blade.
Aftershave: You choose - maybe Shave Heaven Balm $15. At the moment I love Phoenix Artisans Accoutrements Aftershave & Colone. ($40) It includes goodies such as Alum, Witch Hazel, Rose Water, Menthol and simply works.
Strop:
Tri-Strop XL - $50 It is hard to go past this guy. Small business, has a second cloth strop for addition of abrasive powders etc.
That's it for now, but soon (couple of weeks of daily shaving) you will begin to think the razor isn't so good any more.
Pasted Strop: By putting some abrasive paste on the third element of your tri-strop, you can clean the edge up fast.
Crox paste: $20
That should get you through a few months. Once that stops working, and it will, you can send it out for honing $30, or hone it yourself. This is where things can get murky and expensive. You have the synthetic stone option, or the rabbits hole of natural stones. You are looking at around $500 for a full hone-setup but this is pretty a once in a life time purchase. Unless you get HAD..... hone acquisition disorder....
Anyway, as I said before, I am no expert, and there are literally thousands of options! This just a list as an example, but it should give you an idea of what is/can be involved in straight razors.