What Causes Shaking Of The Hands?

Hi,

I've been having some problems lately with my hands shaking (or feeling like they are shaking when they aren't) and my face feeling really hot/flushed. I know that often these are symptoms of anxiety, but I do not lead a stressful life. I am a very happy person, and when this happens i'm usually doing something mundane, like watching TV. Any advice on what's going on?