Before you start
You need to be logged in, and you need access to the new inbox so you can confirm the verification email. If you cannot log in, reset your password first with these steps.
Change your email
Follow the steps below. Each one matches the highlighted area in the screenshot.
After you save
Open the verification email at the new address and click the link to finish the change. Your other profile details live in the same area, so you can also edit your profile while you are there. Verification works the same way as when you first confirmed your account.