In a grid down situation you might just let it go. I probably would but I might also want to clean it off periodically so a good shaving option is important. I started using a safety razor ~14 years ago out of curiosity. I came across a vintage one with some unused blades and tried it out. The results surprised me and within a few days I got an equivalent shave to the multi-blade ones I'd been using. It set me down a path of collecting, buying, & selling and now I am back down to just a few. Some observations to consider if you go this way:
1) They are inexpensive. A new Merkur 3-piece w/ 100 blades is under $45. At minimum blade life that is ~1.6 years of shaving. I get more than that as do many others. You will get 3-5 shaves per side, a heavier beard will dull blades quicker.
2) High quality blades are ~$13 mailed. I like Astras (Russia) and they work great with inexpensive 3-piece razors. However, not everyone likes them but you can buy sampler packs of 5 blades until you find ones you do like. Try a bunch then buy 100. Contrast that to the cost of a Gillette Mach 3 5-blade refill that barely covers 1.5 months (for me) @ $9. The savings add up fast.
3) Avoid vintage razors. Many on ebay are from garage sale flippers that do not describe condition properly and you may end up with junk. If you buy from a good seller that accurately grades them you'll pay much more than for an equivalent modern one.
4) Buy an inexpensive new razor to try this out as you may hate it. A RazoRock or Weishi 3-piece is 1/2 the cost of a Merkur. However, cheap though they may be they do provide a great shave. If you like it you can always buy a better one later. Most of the sub $15 razors are copies of the Gillette Tech razor head. That's been around since the Depression and remains a great design.
5) 3-piece razors are simpler than TTO/butterfly ones. That mechanism may become damaged when dropped and they are more $$$. There are good modern reproductions of the classic Gillette Speed if you decide to go this way however.
6) I leave adjustable razors out of the mix only because you will most likely leave it in the sweet spot once you find it. You can do the same thing by trying out different blades until you find the ones you like. Adjustables carry a premium price for new or new condition vintage and not recommended if you just want to try this out. I've had multiple adjustables but ended up w/ a 3-piece as my daily.
7) I don't use a shaving brush but many like them. You will develop your own preferences and by all means try one out.
8) There are great saving soaps out there to use with a brush. However, there are many bar soaps that work well too. I found out by accident when I ran out of shaving soap and did not have a backup. I now use our regular soap next to the sink as my daily. Although it may not work out for you it is at least worth trying.
9) There are a lot of great shaving forums out there. And there are also many "Cult of Shaving" mindsets in them too. I recall my dad being up & out the door freshly shaved in 30 minutes or less. He did not engage in a ritual involving multiple unguents, balms, and a procedure bordering on religious spectacle. There are many adherents to the shaving tea ceremony but I suspect most here are not.
10) Finally, there are alternatives such as a straight razor, injector, and single-edge disposable. A couple others too but in the minority.
Straight razors are great and only need a good initial hone & regular stropping to shave well for a long time. They are also slow and much tougher to master. I love the shave I got (after many bad ones) but don't expect to be out the door quickly when you use one. It is a deliberate and time consuming process.
Injector razors are a class invented by Schick. They shave great but blades are pricey, 100 blades = $50.
Single-edge disposables shave great too. The blades look like paint scraper blades but have a different grind profile. For amusement you can search the shave forums and read about someone that found a handle at a yard sale and tried shaving with hardware store blades. Results not pretty, ouch! Not aware of anyone making new handles but vintage near new Gem ones can be found at just about any antiques group store or eBay. Blades however are about the same cost as injectors.
Hopefully the above provides some insight and definitely do your own research.