I would actually recommend that you tell your doctor even if you don't have more symptoms. I don't think hand tremors are a "normal" side effect of Prednisone. It's probably fine but I do think it is at least worth mentioning to your doctor.
Also welcome to the forum. Are you taking the Prednisone to treat IBD?
YEESSS!! It makes my hands tremor and my voice shake! I always sound nervous while on Prednisone, for me though it did get a little better with time, once I started to get used to it I guess. GOOD LUCK!!