What Would Fix my Bulging/prominent Eyes?

While many surgeons might embrace your desire to improve your prominent eyes, surgery for this has many potential complications including permanent visual loss.  Many of the complications are difficult to foreseen and essentially impossible to correct.  An important issue is to decide if you have body dysmorphic disorder as a component of your desire to have this eye prominence changed.  This would be essentially obsessive thoughts about the appearance of your eyes that affect you social with friends or at work.  If you spend more than an 1 hour a day thinking about this issue, avoid social situations, or perceive other talking about the appearance of the eyes, this would be consistent with body dysmorphic disorder.  The assistance of a psychologist can be helpful in dealing with these concerns.

Yes you have a mild form of genetic exophthalmos. Best to see an oculo-plastic surgeon to do a complete work up including 3-D cat scan of your orbits. Understand orbital decompression surgery is a major operation with high risks. 

Your side view shows that your cheek bone is not as prominent as you would expect it to be. You will need some form of malar augmentation. Whether it is a filler or an implant you should discuss with your Plastic Surgeon.