These hacking crimes are why I don’t do online banking. It hardly matters. Your own banking online is harmless. The harm arises from someone else doing banking with your account. If you don't have an online account with your bank, you are more vulnerable:
- The thief can register such an account in your name, but using his email and his password. Then he can steal all your money and you will not know until you get the statement in the mail.
- If anyone steals your credit card info and starts buying stuff, you will not know it until you get the statement in the mail.
- Instead of using a secure and free Bill Pay service you need to mail paper envelopes with paper checks in them. If a check is stolen, it can be used to steal money from your account. A Bill Pay check (if it is not an electronic transfer, as it is often the case) cannot be trivially cashed by another person, and it is not your check anyway.
Computer security is a complex matter, and breaches like this are creating fear among the uninitiated. But it makes as much sense as fearing to buy a simple Toyota for driving around town after hearing that a Formula 1 driver got hurt during a race. What did him in is not what you will ever face.