Welcome to HW. Very glad to have you!
Since you pinpointed the cause of your hand problem, that's a good start! A first step if you should ever want to pursue MD help, would most likelyto be an Xray of the hand or MRI which can be ordered though your primary MD. It would identify fractures, inflammation, cysts, tears or any injury. A rheummy or ortho would do the same thing.
Aleve is good...just watch your tummy. NSAIDs can cause stomach upset/ulcers...if taken in excess. But that's great the Aleve's work.
Glucosamine and chondroitin I would definitely stick with. You can also think about adding an Omega 3 Fish oil, wich will aid as an antiinflammatory.
If they start to swell and hurt badly, rest/ ice or heat and topical menthols and parafin wax dips sometimes help.
When it gets to the point, if it should, that it gets very bothersome...consult with a rheummy or even a hand specialist! Hand specialist are out there and they sure know their stuff.
Be careful and take good care!!
And keep those puppies warm with gloves this winter too!