Whatever you do,never stop paying a bill, especially if it is tied to a contract. Legal and debt collectors letters come to mind, with all the sorrows behind them.More so, if you have just set up your first home.
I would read the contract that you have, or get the local free advisory outlet to do it for you. Someone like the local law centre,trading standards or cab should be ideal. Sometimes these contract do have let out clauses, if you wish to transfer a service or package. Usually companies are fairly helpfull in this respect,it is when you try or want to opt-out completely that things can get complicated.
I would write a letter to NTL stating what you have suggested and requested, and see what they offer. Speaking to someone in a call centre doesn't always bring the simple solution.