Is he moving his hands--like watching them move? What do you mean playing with them? Picking at them with his other fingers? If he is watching his hands move that could be indicative of "self-stimming behavior" that is a red flag for autism spectrum disorder. A lot of ASD kids move their fingers in various ways and seem kind of hypnotized by them. This might look like either waggling his fingers or repeatedly opening and closing his fingers/hands. If he is not doing this sort of repetitive, hypnotic behavior, it is probably nothing. If you google "ASD infant toddler symptoms" you can see if any other behaviors fit. Also, feel free to send me a private message.
EDIT: One year old is NOT too young to be worried about certain things. :) Ask any mom of a kid with special needs...the sooner kids with ASD get intervention, the better their prognosis. It's good that you are aware and seeking different opinions. And the little information you've given is certainly not enough to jump to even a single conclusion...that it IS completely normal or that it is NOT.