True for bitcoin users like us, we need both. We need to keep bitcoin wallet and requires the bank to save money result of bitcoin. We all need both and I think both are equally as good.
Better buy bitcoin debit card that will helpful in this case. You can that while purchasing, paying bills and Fiat currency with drawl as well. For bank you need person to maintain separately with each and every treasurer in the branches but In bitcoin wallet you are only person can access your account. I feel bitcoin most trusted than bank.