I run a mastodon instance in docker and a Sharkey instance in docker on another server. I, personally, didn't find it especially temperamental but, to be fair, I have pretty extensive experience troubleshooting Docker issues re: networking/permissions/volumes because I am cataclysmically unclever.
Some advice: I would definitely recommend against running it on a naked domain you care about (i.e. instance.com). Always deploy it on a subdomain (i.e. mastodon.instance.com) because, if you ever change servers, have to re-make your intance, have domain issues, etc, you will be fucked pretty much forever on that domain. On a subdomain, you can just use a different subdomain.
This was my first thought. I've never said "self hosted" to a client and, honestly, never would. "On-prem" or "Running on your server." The idea of a company "self hosting" something is literally just "hosting".