Seeking a more balanced profile, chin or nose first? Do I have any jaw issues?

From your description, it sounds as though you have an overly projecting nose, and an under projecting chin. A full set of facial photographs from all angles are required to make a determination about how best to proceed with two surgical procedures. In our practice, we frequently perform a rhinoplasty to shave down the dorsal hump simultaneously with placement of a small chin implant to augment the chin forward for a better facial balance and proportions. If you have a recessive chin, that makes the nose look bigger than it really is. Digital computer imaging of your both your nose and your chin would be helpful to understand what can be accomplished with both procedures. If you're looking to only perform the chin implant, that can be done under local anesthesia as an outpatient procedure, which takes about 30 minutes. Rhinoplasty requires general anesthesia.