Well there are many aspects of modern life that the internet has made a lot easier. Everything from ordering products online, to researching information and even banking has become secure enough to be done over the internet.
The thing with Bank Accounts on the internet though is that you need to be able to find a bank that as well as being safe and secure for transferrals also offers services that are recognised and well sought after. One such company sprung up recently, Alliance Leister, after receiving the award for Best Current Account Provider in 2006. This award is quite prestigeous, and awarded to top companies for their continued excellence in financial planning and assistance.
There are many banking options available these days on the internet, many with deals that seem to good to be true, but an accredited and awarded company certainly can't be a bad thing.