BT are just a service provider, that link toekneem gave you is just to connect an 'exisiting' line, NOT for BT Retail to pay Openreach to install the line plant.
You said your new house is built right next to your exisiting one, is your old one supplied by an overhead pole or underground feed?
If it is overhead you will probably be alright because it may just be a case of running a new drop wire from the pole to your new house. If it is underground then it will get expensive because Openreach will have to run new duct and cable from the nearest underground distribution point.
This link might be helpful and the other links on that site;
They're Underground, I'm digging a trench from the new house to the end of my drive way for Water and Electrics to be put in, I was hoping I could lay a pipe with a cable in, so all BT have to do is fix the connection at the house and from the end of the drive way.
If I could do this it would reduce my costs, I just need to know BT's specification for wiring is?
I'm still in the process of registering the house with the Authorities to get it a postcode and number so if I can find out the wiring specs, I could lay that and then get a quote of Openreach.
You could try checking this website here it is for BT openreach newsites, they may be able to arrange the delivery of some duct that you can run up your driveway.