Will blepharoplasty change my eye shape? (Photo)

I would suggest a trans-conjuctival blepharoplasty to remove the bags.  It will not change the shape of your eye.  This procedure simply removes the bags through an incision on the inside of the eyelid.

Given your age, a conservative approach to your eyelid concerns are indicated.  A very conservative trans-conjunctival "through-inside-of-eyelid"  approach to fat pad removal would be helpful. The skin texture can also be improved with conservative laser resurfacing.  This combination would be helpful with a low risk of affecting eyelid shape.  Best wishes.

Transconjunctival lower blepharoplasty will address the puffiness of the lower eyelids while NOT changing the eye shape. A nonsurgical treatment would be fill the area around the bags with fillers.  It may or may not be the best option for you.  See an oculoplastic surgeon.