Beta blockers do help with some types of tremors, for whatever reason. I had a neurologist prescribe some for me for tremors before my Graves/hyperthyroid diagnosis (but while I was hyperthyroid — long story). I think the main reason for beta blockers, though, is to protect the heart. So, checking your heart rate occasionally might be an indicator of whether you need the b.blocker or not. These drugs should not be stopped all at once, typically, so if you are taking them rather regularly, you need to wean yourself off them once it looks like you might not need them any longer.
Bobbi — NGDF Online FAcilitator