You should have had an email from EE....somewhere in it it tells you how you can fill in something? (sorry can't remember the details..) ...and then when anyone tries to contact you at the old EE email address, they are automatically transferred to the new one that you filled in.
Found my email from them now....click on one of the links to proceed...
..."What you need to do now
Switch to a different address by 31 May 2017. You’ll also need to update the email address that you’ve registered for other online accounts or services, like your online banking or utilities accounts. If you want to keep any of your old emails, you’ll need to move them to your new account – we recommend importing them using Gmail. If you have an FSMail account we’ve enabled POP, so you can transfer emails from your inbox easily. Find out more here.
Want to find out more about setting up your new email address?
We’ve created a handy How To Guide to make changing email addresses as easy as possible. It’s also got more information about why we’re closing Orange Email.