There are options available to you. Your description is typical to a vertical maxillary excess and a mandibular deficiency combination situation. The surgery available to you is usually referred to as maxillary impaction (LeFort) surgery and a mandibular advancement surgery. Usually performed together in order to get the optimal result.

The LeFort part of the surgery will remove the excess bone and gum shown and the mandibular advancement will position the lower jaw more forward to compensate for the "lack" of chin.

However, the most important factor in your situation is to find the appropriate team to do the work.

I recommend looking up a Prosthodontist as the team coordinator, since the Prosthodontist is the expert in cosmetic, restorative, and implant dentistry. Let the Prosthodontist recommend to you the proper Orthodontist, since you will have to go through some orthodontic treatment prior to the surgery and also an Oral surgeon, who will be performing the orthognathic (jaw surgery) part of the treatment. The proper communication and coordination of the team in critical and will give you the best possible result.

Keep in mind that you will probably need some orthodontic correction after the surgery, as well as possible prosthodontic work such as crowns and/veneers to finalize the treatment