What Causes Tremors In The Hand?

My husband is 68 years old and several weeks ago his right hand began to be shy at times. He has also suffered from being unsteady on his feet for the last six months (as far as I know) and has fallen several times. He says that he walks very slowly especially up and down steps to avoid falling. He is like an old man. He has type 2 diabetes and afib and drinks way too much wine, is anxious and worries a lot. Is on trulicity and metformin as well as multiple other meds. His endocrinologist and primary have recommended a neurologist.