This link should get you there:
http://www.eccie.net/profile.php?do=editpassword
ECCIE will send a confirmation email to your new email address with a verification link. Be sure to check your email/junk mail folder as it sometimes ends up there.
If you don't get the email (some email providers don't deliver mail from eccie.net) PM one of your local moderators or email web support and we can help you out.
ztonk