Bitcoin banking is more secure than normal banking, because you are the only one that has access to your personal wallet but in normal banking customer cares can login into your bank account without you're notice and use your money for any kind of businesses.bitcoin banking is more reliable than normal banking because money that is in your normal banking can be deducted or withdrawal without you're notice but that can not happen in Bitcoin banking everything happens with your authorization.
What do you mean by bitcoin banking first of all? Banking in itself means when you have an intermediary in between who takes money on your behalf and gives to other people basically assisting people in transactions. There is no such term as bitcoin banking as no intermediary is required. But I think you mean normal transacting using bitcoin which obviously is better than normal transactions done using traditional banking.