This article will help you set up your site email using free platforms MailGun and Gmail.
If you are using Gmail as your site email you can send emails via API using MailGun.
Mailgun will also allow you to use @yourdomainhere.com on your email address.
It is not meant to receive emails, but redirect all incoming emails to your Gmail inbox.
Your recipients will see @yourdomain.com instead of @gmail.com on your email address.

To get started, simply complete these 3 steps:

Step 01 – Setup a MailGun Account
Step 02 – Setup Email Forwarding
Step 03 – Setup Gmail to Send Mail from your Domain