Go to a domain sales site, register a domain. Then, set up the e-mail account and you will then be dot-commed! What could be simpler?
microsoft small office - free domain name and 20 email addresses - might be good for your purpose. No good if you want to put on google ads but that's a different matter
If you own a domain name, simply buy a small webhosting package; sometimes domain registrars even include it into their offers. This should be more than sufficient for just e-mail, thus not reliable enough if you need it for business purposes. Tobias.