Upper/lower blepharoplasty: should I go to a plastic surgeon with experience in face/skin surgeries or an oculoplastic surgeon?

I am considering upper and lower blepharoplasty and wonder if it's better to go through a plastic surgeon with experience on face/skin surgeries as opposed to ophthalmologist/oculoplastic surgeon. I'm told upper may be covered by insurance since it's affecting my vision and wonder if that also applies to a lower lift as well. Is it uncommon for a plastic surgeon to go through insurance for this procedure or would I be expected to pay out of pocket?