Look up email alias service or something similar, if you aren't looking to self host. I can't recommend the service I use, because I'm grandfathered in to my plan, and their current plans for new customers suck, but there's enough providers out there that you should find something competitive.
If you want to 'self host' on a provider, I thing cheap/free options are available from cloudflare, Google, and similar enterprise companies.
If you want to truly self host, I don't have experience, but this guy who does gave a great thorough answer for those who are interested: https://news.ycombinator.com/item?id=48073510