I’ve been using my own domain pointed at Inbox.eu. They’re based in the EU and I haven’t had any problems, I pay for 2 users, the price is something like 12€ per user per year, so it’s cheap enough for me.

If you mean self-hosting email, then good luck.

It’s a lottery with the IP and even the IP space you get, whether anyone will actually receive your emails.

I hosted my own for a few years, but god fed up telling everyone to dig through their junk folder for my emails, and not being responded to very often, probably because of just that.

Maybe some providers have it better, but I tried a few and each was just not good. I really think Microsoft, Amazon, Google and other big players have intentionally separated the good, trusted IPs, ones they use for email services specifically, and made the other worse

Owning a domain for yourself and having a provider send/receive email on your behalf is a common choice, and it has its own benefits such as being able to migrate to other providers easily. As long as you renew your domain properly, it should be fine. Though do note that only you would use that domain, so anyone would know it was you who sent that email.

Owning a domain for yourself AND handling email sending/receiving can be challenging because there’s a chance your email gets filtered as spam, and the receiver doesn’t get what you sent. It’s also possible that your server goes down, and the email sent to you doesn’t arrive properly, though the email server usually try to send again a number of times before giving up.

If you are confident about setting a server, I can personally recommend Mailcow. As long as you set up SPF, DKIM, DMARC, it should pass most spam filter including Gmail. If you don’t want to deal with the potential headache, getting a provider to send/receive emails for you is a good choice too.