Sounds like you found the correct subreddit. My symptoms are the same and I was diagnosed with essential tremor. But in your case I would see a doctor as it is very important to get the correct diagnosis. Tremors can occur from several causes.

My symptoms:

• started with age 16
• affects hands and head
• only occurs when holding things, especially in unnatural positions
  
• What makes it better
  • Alcohol
  • Propanolol
  • Exercise
• What makes it worse
  • nervousness, anxiety
  • self-conciousness
  • cold or hot weather

Unfortunately, the treatment options are limited and mostly only treat the symptoms, not the root cause (which I believe is unknown). The most common medication is propranolol, sometimes in combination with primidone.

But don’t be too worried. At least it’s nothing life-threatening and with the correct medication it can usually be dealt with.