It is best that the treating clinician remove your braces. They would be most familiar with your case and the retainer requirements.
Normally, I would make and place fixed retainers BEFORE the braces are removed to minimise movement of the front teeth while waiting for the removable retainers to be ready.
However, if you are unable to see the same clinician for debonding, please check prior to your visit if the dentist you are planning to see is comfortable performing the treatment for you. Usually, there are additional fees for ad-hoc removal of braces and you should discuss your retainers with the clinician before proceeding with the debond.
