I use my own domain. I do not host my own email myself though. You have several options, Migadu being one of them. But pretty much all premium email providers nowadays allow you to use your own domain.

For aliases, I would recommend something like Addy. It is basically a forwarding service, that hides your real email address. It is really cool. Spamgourmet used to do this back in the day, but nowadays it is mostly dead.