For the non ISA accounts you can do an internal transfer but for an ISA, you have to ring up and a member of staff will take phone instructions. Even after you have done the internal transfer for an Internet Saver account, you are supposed to fill in a pdf form to get the old one closed and the interest transferred.
This is all crazy! Of course I am pleased to get more interest but can't you alert me to the changes rather than me finding out by accident? Other banks manage to tell me and then just apply the new rate to my existing account rather than make me go through all these hoops!!
It seems a terrible way to treat existing customers if you want to retain them :(