I am a 50-year-old female and have always had hollows under the eyes with very visible blue veins, what are my options?

Under eye bags can be permanently corrected with surgery or temporarily camouflaged with fillers (Restylane, Belotero, Volbella).There are great non-surgical options to fill in under eye depressions and hollowness. Using dermal fillers, a liquid eye-lift can be performed. A dermal filler such as Restylane would be placed in the cheek and tear trough to hide the depression or bag underneath your eye. 
Surgery would require a fat-repositioning lower lid blepharoplasty. In this surgical procedure, fat from the eye area is moved into the tear trough depression filling the actual depression. 
I hope this helps!

Dark circles under your eyes are a common problem and you'll be happy to know that techniques for correcting this problem have improved tremendously in the last few years. The cannula technique is the best way to fill in the dark circle while minimizing the risk of bruising. Consulting with a physician experienced with the cannula technique for fillers under the eyes would be a great place to start. Treating prominent veins around the eyes is more complicated but could be discussed during your examination.