Click on "My account". That should take you directly to "Edit account settings".
Insert your new email address in the fields saying "Email address" and "Confirm email address".
You do not need to change your password, but under the blue line saying "Confirm changes", you have to type in your current password before hitting submit. Any change in email or password must be confirmed with your current password in the "Current password" field.
If you are not changing your password, leave the two fields under email address open.
It is my experience that when I change anything in my profile and submit the change, the email will change back to my original one, and has to be changed again.