Dollar shave club
Buy a DE and get some cheap blades.
Dollar Shave Club (as far as I understand) is the cheapest option when it comes to cartridge razors in the US, but the thing is that cartridge razors themselves are a scam. You generate more waste because you throw out some thin metal strips with a shitton of plastic surrounding it, and you have multiple blades which just irritate your skin more. And all that plastic is gonna rack up the price.
Basically it's the same business model that King Gillette initially came up with. Sell the razors cheap, but make money on the blades. But nowadays King's original invention is still the best choice. This time you spend more on the razor itself, however when it comes to blades, they are dirt cheap, and even the highest class ones like the Japanese Feather ones are still gonna end up cheaper than the DSC cartridges, and you will have a much much better shave than any multi blade contraption would give you.
The worst bit is that people got psyop'd by razor manufacturers that the original safety razor is not actually safe and you will cut yourself and you will bleed and it will hurt, therefore you need to buy the new invention which is the multi blade razor that generates more waste than a DE razor and we will proclaim ourselves to be eco friendly. While in reality the DE razor, the safety razor, wasn't called like that for no reason. It really is hard to cut yourself with it. And when you do cut yourself, it's not a big deal, and with enough practice you will never cut yourself with one. I only cut myself on the chin because I have trouble with shaving that specific spot but everywhere else, no cuts.
tl;dr: Just get a mild DE razor (as in it doesn't expose much of the blade) and some good quality razor blades, plus a shaving brush and some shaving cream. Get some bowl to froth up the shaving cream and voila, you've got a shaving set that not even Dollar Shave Club can beat. The initial cost will be higher, but in the long run it will be vastly cheaper.
