Eye troughs/malar bags/festoons, whats the best solution for removing them? I'm 30 years old with hypothyroidism. (photos)

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!

Dear Coutes,It appears from your photos that you do have festoons/ malar mounds. These are swollen mounds on the cheek and eyelid region. They often occur in those with lighter skin types and generally have a basis in past sun exposure. They are difficult to treat but I've had success using lasers to tighten the skin in this region and improve the appearance of these festoons.I'll include a link below. I hope you found this helpful.

Hello and thank you for your question. The mild volume loss in your tear trough can be treated very well without surgery. Using a non invasive treatment of hyaluronic acid filler injections, like Juvederm or Restylane, we can give you a well rested and smooth appearance.  The effect of the injections lasts several years (I have seen patients 6 years after the procedure who still look great), looks compeletely natural and the fillers are reversible at any time. Reversibility in this area is important because fillers here can swell and it is nice to have the ability to fine tune the results. Be sure to consult with an injector who is very expeirenced in treating the undereye area. It can be a tricky procedure. Best of luck!