Treatment for upper eyelid veins. Where do I begin?

Under eye veins can vary in caliber and length, ranging from bluish varicose veins to light red spider veins. The treatment of larger varicose veins is very specialized and I have demonstrated my technique on the Doctors television show which can be found online. Treatment includes surgical removal with initiation of a skin brightening regimen to optimize skin thickness and collagen content. 
Associated dark pigmentation on the lower eyelid skin can be due to melasma, bluish veins, hemosiderin deposits, and hyperpigmentation.  
Topical regimens include: 
1.MelaClenz
2.Melarase AM
3.Melarase PM
4.Melapads
5.Replenish Retinoid Cream
Additional therapies for undereye rejuvenation include fractional laser, fractional RF, Covalent peels, and LED microneedling with Replenish serum. The video demonstrates an analysis of varicose veins.
Best, 
Dr. Karamanoukian
Realself100 Surgeon

Either one of those specialists that treats these is fine - micro RF or IPL will easily treat these upper eyelid veins using topical anesthetic creams. BestDr. Karamanoukian

These veins can be fairly easily treated with 940 or 1064 wavelength laser treatments.  It is usually a quick and easy procedure, but should be done by a physician who has a reasonable amount of experience treating facial veins from a cosmetic standpoint.  Experience treating your specific problem is much more important than the physician's particular specialty.