Lower Eyelid Lift, Maybe Fat Grafting, Filers For Thinner Eyes? (photo)

You have a normal variant in your lower eyelids where you have a very small amount of scleral show ( white of the eye showing below the iris).  When you squint you are contracting the orbicularis muscle and it shows as a slightly prominent ridge below the lid margin.  This is normal and should not be corrected.  If the prominence of the muscle is severe, the muscle can actually be trimmed surgically.  I would not recommend any surgery for correcting scleral show or the slight prominence of the Orbicularis muscle when you squint.  You could end up with worse problems.

You have inherited lower eyelid retraction with scleral show. Need to see full face photo for better assessment.  Fat grafting is unlikely to help. However, lower eyelid retraction surgery with internal graft (with or without midface lift)  to elevate the lower eyelids is an option.  See an oculoplastic surgeon for evaluation.

I dont think adding fat to your lower eyelid or fillers for that matter will give you the look you are interested in. It seems you have overdynamic muscles in your lower eyelid I would try just a little botox to calm down those muscles