Big nose with tiny eyes, which one I should fix? (Photo)

The best first step is to find a rhinoplasty specialist. Using computer imaging, you can get an idea from the side view how your profile would be improved by making your nose smaller and chin bigger. It appears that your facial balance would improve significantly. The puffy eyes can be improved at the same time if you wish.

A rhinoplasty addressing the hump, bridge width, tip roundness and overprotection will greatly improve facial aesthetic balance.  A chin implant would enhance it even more.  An office examination will give you more specific answers including the puffiness of the lower eyelids.  Computer imaging will help guide you.  Seek a board certified plastic surgeon or facial plastic surgeon with rhinoplasty experience for the right answers.

Both nose and eyes could be a focus, depending on what bothers you the most. The nose could benefit from both a profile and a tip Rhinoplasty. The lower eyelids have puffiness that would benefit from a combination treatment of lower eyelid surgery and upper midfacial fillers. Cost, healing times, and relevance to you would be the most important determining factor in the decision process of what to do first.