Good post.
Bang for the buck means different things to different people. As you rightly imply, it does not mean spending as little money as possible if you can spend a little more money and do either a far better job, or, do it for a lot longer.
For soap I would suggest a puck of Mitchell's Woolfat. This might set you back $15, but it will last a year, and that's a lot of bang for the buck. If you're looking at only spending a couple of dollars on soap, I'd say Arko, Van Der Hagen, or Conk. If you must buy this from a storefront, I say skip soap and move to cream.
For cream, that Kiss My Face is only $3 a tube at Vitacost or $5 in a store; also, the Arko creams are excellent, but a pot of Taylor's Rose is only $15 and will last 3-4 months if used daily. Finally, the Real Shave Co. makes good stuff you can buy in a store.
For the razor, if you're new to wet shaving, I would recommend you purchase a Gillette Tech on eBay or on the forum's classified section; this is a mild and easy to use razor that's a great starter. If you want to buy a new razor, and are new to wet shaving, a Weishi from China is very mild and easy to learn with. I think that any Merkur razor, while they are wonderful razors, especially the 1904 model, is too aggressive for learning with. The Schick Krona and the regular TTO Gillette Superspeeds are great first razors too.
You won't need to replace this so not buying it in a store is not a big deal.
For aftershave, I have found nothing that works better than simple rose water and glycerin, which you can get for under $5 at Vitacost, search for Heritage Products Rosewater. If you must buy it in a store, get some Nivea AS balm or some Brut AS balm. If you like alcohol, you have a lot of choices in a store; all good.
For the brush, buy a Semogue boar from Vintage Scent.
If you want something locally available, buy an Omega #49.
Welcome and good luck!
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