Should I get a genioplasty and a rhinoplasty at the same time? (photos)

If you want to affect your chin position, do them at the same time. If you have bite issues, or want to change your teeth position, I'd do all jaw surgery first.

A genioplasty is sometimes performed on both the upper jaw and lower jaw by an oral surgeon under general anesthesia in a hospital setting with an overnight stay at the hospital. If that's the case, and you're having both upper and lower jaw surgery, that should be done first as a standalone procedure by an oral surgeon specializing in that procedure.
If you're looking for simply cosmetic improvements, then you can consider a closed rhinoplasty to reduce the dorsal hump, refine the nasal tip and narrow the bridge line. Placement of a small chin implant can accomplish bringing your chin forward for cosmetic purposes. If you're trying to remove fat deposits in your neck, that must be addressed with combination of liposuction and a neck lift procedure to surgically extract both compartments of fat located above AND below your platysma muscle, which also includes a platysma plasty to significantly improve your jawline. All of this can be performed together as an outpatient procedure. Choose your surgeon wisely based on extensive experience, since rhinoplasty is the most difficult procedure to perform correctly in the entire field of cosmetic surgery. Digital computer imaging would also be helpful to understand what can be accomplished with your nose, chin, and neck upon your facial features

Genioplasty is probably a pretty good idea.
The issue in regards to your man is that it is small and lacking and projection.
The primary deficit in job projection is not in the tip or the mentalis region of your mandible.
The primary lack of projection is in the body of the mandible behind your molars.
This is the reason why you have a dental overbite occlusion.
It’s also why your upper lip has more forward projection than your lower lip.
Your mentalis or chin region already project forward, but because the mandible is small an advancement of your chin would probably be anesthetic improvement. Because a genioplasty only moves the tip of the chin it’s not going to have much impact on your jawline.
Individuals who have a smaller mandible are prone to developing loss of jawline projection and potential double chin. A sliding genioplasty does not affect these in any significant way.
I don’t think it makes much difference which procedure you have first.
A weak chin does make a big nose look a bit bigger.
I don’tI don’t think it makes much difference which procedure you have first.
A week chin does make a big nose look a bit bigger.
I don’t think having or not having a sliding genioplasty would affect the approach to rhinoplasty surgery.
Consider a consulting with oral surgeons in your community regarding an assessment and treatment options of your mandible.
Oral surgeons tend to see things more from a facial, skeletal perspective. Well plastic surgeons tend to be more soft tissue oriented. There is overlap and both specialties contribute to this type of work.
Best,
Mats Hagstrom MD