alt Hacker NewsIt's good advice, but one need not even include the "upload it to a web server" these days now that home connections are so fast. Install some static webserver on your desktop computer (nginx, caddy, whatever), forward the port 80 at your router to it's lanip:80, and just save .html and files to the web directory using your normal desktop interface. It doesn't matter if you shut off the computer sometimes. Uptime doesn't matter. Optionally file transfer (rsync, etc) this local copy to a VPS or something like the author suggests.
Indieweb receiving of webmention only requires the ability to log HTTP POSTs to some url endpoint. Or you can use one of third party services servers to receive that interact with your website via with 3rd party javascript applications you include on your webpage. Sending webmention can be done with cURL, even HTML forms, or again, 3rd party JS includes.
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You need a static IP address for this to work is the downside, and depending on where you live and who your provider it it can be difficult and/or expensive.
However, it'll also bring all the bots and "wild west" of the internet to your house when you run your web server from home, and for anyone who has a couple of spare dollars, it's a much wiser choice to run a small VPS elsewhere to weather the storm.