Set up the website’s outbound email to a Gmail account with your domain name; @yourdomainname.com. This will create a professional looking email without the more presonal looking @gmail.com. You can use all email features as within a regular gmail account plus see all the outbound mail the site sends in your “sent” box. In addition to being able to use Gmail to send and receive email on behalf of your website, you will be able to easily manage all your mail activities. Gmail is a rock solid email solution, considered the leader in the industry today.
Note: This will also require you to pay $5/mo directly to google per account to have it @yourwebsite.com (much more professional rather than @gmail.com)