Is it safe to continue to use online banking?

Yes. Banking online is a safe and convenient way to manage your money and there is no reason why the Internet cannot be used with confidence. However, you should not relax your guard when online. You should be more suspicious of an unsolicited e-mail than of a stranger knocking at the front door, because it is harder for you to ask the e-mail sender to prove that they are who they say they are. Remember, if you follow the advice on this site and that given to you by your bank, it will a lot harder for the criminals to succeed.