Here are a handful of sites you can use to set up a free email address:
Gmail - Google's free email service. If you use an Android powered smart phone, you will need a Gmail account.
Hotmail - Microsoft's free email service.
Yahoo Mail - Yahoo's free email service, the largest email provider in the world.
Mail.com - Free email addresses. Pick from hundereds of domain extensions to find the one that fits you best.
More Service Providers can be found at Emailaddresses.com