Hi,
The links Carolyn_b have provided should help you in the setting up of an account and the various requirements and seeing if you qualify etc etc..
I just wanted to put the point accross about Internet/Online banking with the major UK banks. I've used pretty much all of them in a testing environment for when I worked at Intuit. I agree, some 'experiences' of UK banks online systems left alot to be desired, and some of the smaller banks and institutions really provided a remarkably good experience.
Since the early days and the early adopters of online banking (me being one!) I use HSBC and in terms of feedback from users when I was at Intuit and developing/supporting/testing Quicken, HSBC had the least amount of problems. Natwest had the most, by a longshot! Barclays, well they're just crap for not evening offering downloads for Quicken or MS Money (i need to research if they've changed recently though - I can download CSV statements for my Barclaycard credit card account) Lloyds TSB is quite a clunky interface and a little difficult to navigate but comprehensive nonetheless. Other's I have used but can't quite 'define' overall experiences as I did them quite a while ago.
I'll be doing a more comprehensive re-test soon, including updating which banks are doing what and how well (hope barclays have brought themselves into the 21st century!)
and will let all here on UKY know.
Hope this helps!
Cheers! Dennis! West London & Slough UK!