Are my eye bags from fat or fluid? They're worse in the morning but never completely go away. (photo)

Thank you for your question. You are 41-years-old, and asking if your eye bags are caused by fat or fluid. You add that you have sinus and allergy issues, and your bags are worse in the morning, but never completely go away. You also say the bags feel like bone.
I can certainly help guide without a submitted photo for reference, and without the benefit of a physical exam. As an oculoplastic surgeon practicing in Manhattan and Long Island for over 20 years, I perform procedures for the upper and lower eyelids every day in my practice.
I think it is likely that your eye bags are a combination of your sinus and allergy issues, as well as fat. Eye bags that are present all the time are caused by the fat that normally cushion the eyeball push forward, creating these bulges. Since the fat doesn’t move back below the eyeball, the puffiness and prominence are present all the time. Intermittent issues with allergies and sinuses can make the eye bags look worse at times, but do resolve when they are not triggered.
In a situation like yours, I would have the allergies and sinus issues managed first, and see how your under eye area looks without the inflammation. I would then consider performing a transconjunctival blepharoplasty, where fat is sculpted and removed from behind the eyelid, and no outside incision is made to preserve the support structures of your lower eyelids, and look completely natural. If surgery is warranted, it is important that it is done when you have no sinus or allergy attacks, as a little fat is left behind for a contour of the lower eyelids, and to prevent you under eye area from looking hollow.
I suggest you consult with an eyelid specialist for a proper physical examination of your eyes, and determine how much fat is causing your puffiness. Lower eyelid surgery can be done under local anesthesia, and while it is surgery, it is very routine for an eyelid specialist, and you can be back to work in about a week. Ask for the transconjunctival blepharoplasty by name as it is more specialized than the transcutaneous blepharoplasty procedure. The transcutaneous method is more common, and involves an incision in the lower eyelid, so it is more prone to complications, can change the natural shape of your eyes, and may make managing your allergies more challenging during recovery. I hope you found this information helpful. Thank you for your question.

Thank you for your question. There are many things you can do to treat under eye bags, but a combination approach with nonsurgical treatments would give the most improvement: fillers (Belotero, Juvederm Volbella), lasers (Fraxel/CO2), Renuvion (J-Plasma), microneedling/PRP, Cosmelan peels and stem cells. A surgical option to remove skin and/or fat might be the best solution long-term. I suggest getting a formal evaluation with a cosmetic dermatologist to see what is best for you and your goals. Best, Dr. Emer.

This is most likely a combination of fat and some fluid. 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!