Alcohol may calm your tremors temporarily. However, there is likely to be a worse tremor once the effect wears off (rebound phenomenon). Hence it is a must that you quit alcohol completely.
As for the cause of your tremors, you may be having either:
1) Essential tremors - especially since you have noticed that alcohol use improves it and that you have these tremors since childhood. Does anyone else in your family have similar tremors?
may be one additional cause of your tremors. Check your thyroid hormone levels and consult your endocrinologist
for adequate treatment of the same.
3) Alcohol use itself causes tremors as a side effect. You may need to quit alcohol completely. I am sure your doctor has prescribed acamprosate to help you in this regard.
Reduce intake of tea, coffee, cola and other caffeinated drinks as they can worsen tremors due to any of the above causes.
Hope this helps.
You may consult a neurologist
for your tremors. He will be the best person to evaluate the above possibilities and guide you appropriately.