To wipe the phone
Turn off imessage in settings/messages
Turn off Facetime in settings/Facetime
Delete icloud account in settings/icloud
Erase all data and settings in settings/general/reset
Delete the phone from your profile in https://supportprofile.apple.com if you registered your phone there.
define trying to unsync my 3 from icloud
unless you change your password or apple id you should be able to log in
It is possible you left the wifi location while you were still restoring. If so you need to start over
settings > general > reset > erase all content and settings > restore from icloud backup during the setup assistant
This is exactly what I needed. One more question...can I do all of that before the photos are finished loading onto the new phone? I guess I'm wondering if the information already stored on icloud will be available even if the previous source is no longer connected before I completely wipe it out. Thanks for the help!