After my rhinoplasty, how long do I need to wear that metal cover? Will I be able to drive home after the surgery? I am planning on having local anesthesia.

The bandage along the bridge of the nose remains in place for one week; I remove it one week after surgery.  I do not recommend you drive yourself to and from the surgery center.  You will need someone to drive you.  Although some rhinoplasty procedures may be performed under local anesthesia, the great majority of rhinoplasty surgeries I perform are with general anesthesia.