This is a little bit off topic, but if your SEO efforts are successful, and you want to at least appear to be legit, then you will need to be providing an email address that uses your domain name.
Some registrars offer some basic, not great, email services for free but they are not registrars you’d choose otherwise. And your favoured registrars offer OK email but usually for a monthly fee that adds up to quite a bit.
If you can afford it, use Google Workspace. It is basically Gmail with your own domain and no ads. Which means it works and works well.
Here are some cheaper alternatives, the first 3 are ones I use.
Proton – email (up to 3 custom domains), calendar, file storage, VPN and password manager, all for one price that is often discounted. And they are very privacy focused, one of the best for that.
iCloud+ – works best if the domain you use is also your everyday domain. Very cheap. Only works for one domain.
Zoho – very cheap and unlimited domains. Not the most reliable or trustworthy, but perfect for your lesser projects.
StartMail – from StartPage. Also unlimited domains but costs more than Zoho and discounts are only for the first year. Otherwise looks awesome and perfect for someone with a lot of domains to handle.
Rackspace – cheap, well-regarded, not cutting edge though