Nationwide Internet Banking
Nationwide internet banking is very friendly to beginners with plenty of help, a dictionary, and the ability to set the whole thing up online without calling up (ideal for people who like to bank in their pants at two in the morning). The Nationwide was ostensibly the first company to offer internet banking, and have expanded the service to WAP on your mobile phone, interactive TV and even pocket PC.
Using Nationwide internet banking, you can check your balance, view a mini statement of your last 12 transactions or get statements for the last 3 months (or select your own dates to view even more) and transfer money to other Nationwide accounts instantly. Bill payments can be made up to one month in advance, or for Nationwide accounts only, you can set up regular payments- great if you want to set aside some money each month, for example. Standing orders and direct debits can all be managed online, and the service is compatible with Microsoft Money (although apparently not Quicken, the other main home finance package).
All in all, it's a perfectly acceptable and very helpful online package- the other clever part of course is "e-savings"; an online-only savings account, and by spending a few minutes each month moving cash into your e-Savings pot, you can earn extra interest.