I'd go with either GMail or Outlook.com. Both use SSL sessions, and also have better spam and Malware scanning on the server end.
Most hacks are due to using a too obvious password, or by Malware you may have inadvertently installed thinking it was something else, or part of another hacked software. You can take steps to prevent this.
Other email accounts are exploited not by obtaining the account password, but by extracting the session credentials due to server vulnerabilities. Not much you can do about this on your end.
Using your own domain name virtual web hosting may not be much safer. The server admin can access your account and intercept/read your emails.
Have a old PC and decent Net connection? It is possible to setup your own Free LAMP server, SSL certificate, email server software, and possibly use a DNS service, but way beyond the technical knowledge of the vast majority of email users?
