How could I get rid of my bulgy eyes? (Photo)

I would consider a small surgery where I release the lower eyelid retractors.  This allows the eyelid to naturally elevate.  The release is done from a small incision on the inside of the eyelid.  What this does is it creates more a space between the muscles and their attachments.  I have seen this work beautifully in many young patients.  You could expect about 2mm of lift.  This would be enough to make the eyes look less buldging.

You have genetically big appearing eyes.  The lack of volume in the lower lid accentuates this appearance.  If you use some filler here you should notice an improvement.  It will decrease the dark circles and help to move the lower lid up so you don't see as much white under the eye.  The HA fillers such as Belotero or restylane would be good for this.  If you like how it looks,  you could then do fat. The more permanent solution is an orbital decompression.   

Combination of orbital decompression and filling around the eyes (either with fat or fillers) will give the best result. That doesn't mean that doing only one of the procedures above won't be beneficial, just less so.