Yes all you have to do is go into the local council and fill out a form. Or they will post one out to you. It has to be filled in by the 10th of any month to be on the live electrol roll the following month. They automatically get sent out on all address for people to fill in around sept/oct time. But you wont want to wait untill then.
You could ask the manager to write a letter to the other bank manager it might help. It didn't with me when i first opened an account with natwest.
You can get a bill phone but they will ask for a deposit from you 100%. Even if you were with vodafone or 02 over here it makes no difference over there. Although the same name they are different companies. I was with 02 for 7 years, perfect history payment, didn't make the slightest bit of difference.
EDIT, over in UK it would be better to get the visa debit instead of the Maestro if you intent to make purchase's online that are not within the uk. For example i wanted to book a flight over to ireland with airlingus and back with ryanair, ryanair would not except my maestro card for a flight departing outside the uk. Also a lot of places in ireland while i was over visiting my maestro card would come back not authorised and would then have to go through the process of calling them to get it to go through. I've never once had a problem with my visa debit card.
EDIT AGAIN, I'm full of information today. Do you have a NI number? If not start the ball rolling on that as well. You will need this to register with the doctor, dentist ect. Open an isa account straight away as soon as you have you NI insurance number, there a great thing to have totally tax free! You have a year living over there before you need to convert your licence to an english one. It a very simple process to do anyway and if your going to be getting your own insurance it will be cheaper to have an english licence. They only ask you if you have an english licence or an EU licence. I said EU first cause it wasn't english got quoted £1500!!!! rang back a few mins later, same details just changed my name and said i had a full english licence and was quoted £600. So much for it not making a difference. If your going to london get an oyster card, you can get them from any newsagent.