I used to shake at work all the time. My hands were fidgety. I couldn't legibly write or type. I still didn't stop drinking; just eventually, I was let go from that job. I even told my bosses what my problem was, and was given many chances.
Alcoholism will take everything from you. It's not a matter of if but when. Now is always the time to stop. You can do it; I believe in you. Once you're through the withdrawal, you'll feel physically better. Alcohol kills cells and disrupts your brain chemistry. You should see a doctor when you get the chance.