The best rhinoplasty approach truly depends on the comfort of the surgeon and complexity of your nose. Open rhinoplasty or nose job surgery is where a small incision is made between the nostrils and the skin is elevated off of the cartilage and bone. These are reshaped and then the skin needs to contract back over the new cartilage/bony framework.
The closed rhinoplasty approach is where all the incisions are on the inside. The cartilage is not exposed and therefore cartilage shaping and graft placement is not as precise as with the open rhinoplasty approach. This is an older method of rhinoplasty and is now not as popular unless the changes are only minor.
Dr. Funk is rated one of the best rhinoplasty surgeons in Houston by RealSelf.