After you login to your BeFunky Profile, go to your 'My Account' page, then click 'Delete Account'.
This will lead you to a second pop-up confirming your account deletion, or allowing you to cancel. Click 'Yes, Delete My Account' to proceed.
You'll be sent a confirmation email with a link that you will need to click in order to complete the process.
After successfully closing your account, re-logging in will re-open your closed account. After 30 days, your closed account will be permanently erased.