Piggy Pank

So we started a piggy bank for Brynnlee which currently holds $32.46. I am wondering what to do once the bank becomes full..Does anyone have any suggestions? We thought maybe once it filled up that we would open a savings account for her..But then I keep telling myself she's wayy too young to have her own savings account, and that maybe we should just keep it in the piggy bank but then there would be no room for more money to go in, and so why not open a savings account for her cuz that's the smarter thing to do? ..So, we're kind of undecided and are wondering what other people have done for their kids when they are this young.