Maybe this is more of a home lab question, but I'm utterly clueless regarding PKI and HTTPS certs, despite taking more than one class that goes into some detail about how the system works. I've tried finding guides on how to set up your own CA, but my eyes glaze over after the third or fourth certificate you have to generate.

Anyway, I know you need a public DNS record for HTTPS to work, and it struck me recently that I do in fact own a domain name that I currently use as my DNS suffix on my LAN. Is there a way I can get Let's Encrypt to dole out a wildcard certificate I can use on the hosts in my LAN so I don't have to fiddle with every machine that uses every service I'm hosting? If so, is there a guide for the brain dead one could point me to? Maybe doing this will help me grock the whole PKI thing.

UPDATE:

Here's what I ended up doing:

1. set up cloudflare as the DNS provider for my domain
2. use certbot plus the cloudflare DNS plugin to create a wildcard cert. Because I want to use wildcard certs and because the web servers are on a NATed private LAN, HTTP-01 challenge cannot be used. Wildcard certs use a DNS challenge. From what I understand of the certbot docs, the HTTP challenge makes a certain HTTP resource available on the web server, then requests that resource, presumably via an external client, to verify that you own the domain. the DNS challenge works by temporarily placing a TXT record in your DNS server. This method requires your DNS provider to have an accessible API that allows the modification of resource records.
3. Once the cert and key are generated, I place them on the servers I want to to make use of them and set up the web server accordingly.
4. Visit the websites and confirm that HTTPS works.

There are some other hiccups that I'm guessing aren't related to HTTPS. Per My earlier question about self hosting, I'm experimenting with NodeBB. I cannot get the two test instances to federate, which I initially assumed was an issue with HTTPS. That's a question best asked elsewhere, though I thought it relevant to note because it was my initial purpose for setting up HTTPS.