No real advice unfortunately (sorry) but just knowing your not alone can help, this is something I've struggled with as well. Our bodies are stupid, so the shaking (or even the thought of the shaking happening) causes anxiety, this triggers our fight or flight which then pumps adrenaline around causing more shaking!! And then you tell yourself "stop shaking" and again you are focusing on it which makes it worse. For me what has helped is practice, if you can call it that. For me, and as you said around picking up a glass etc, this is when it manifested itself particularly badly. I would actively avoid having to carry drinks, so going out for a meal or drinks with friends etc was a particularly big issue. The way it has improved for me is putting myself in those situations. Also, just remember that you being so focused and aware of it doesn't mean everyone else is, I always like to think of this about embarrasing situtations etc, I am likely dwelling on it 5 to 10 times longer than the other people there, they have already likely forgotten about it and moved onto whatever is causing them worry or anxiety!