Having your own vanity e-mail with your domain is not only more secure, but it looks much better on your business card.
This tutorial will show you how to do it in less than 30 seconds with web hosting provider that runs cPanel.
1. Log in your hosting account
2. Go to Cpanel
3. Scroll down to Mail section
4. Click on Email Accounts
5. Type the e-mail and choose a domain from the dropdown
6. Choose a strong password
7. Select quota - here you can limit the mailbox space
8. Click Create Account
Now you have your own vanity e-mail address, and you can start using it. If you want to connect it to a mail client like Outlook or Thunderbird, you can scroll down on the same page and click on the info listed for your preferred mail client.
You can scroll further down and see the manual settings in case something goes wrong with the automatic setup.
Also, it is very common for the shared web hosting providers that run cPanle to enable you to check your email trough a web browser.
All you have to do is go to www.yourdomain.com/webmail and enter your email address as the username and your password. Then a screen will open where you can choose a web client to browse your mailbox.