New Build Telephone Line Connection . We are in the final stages of rebuilding our house, which involved removing the old overhead phone line to the property. Transfers and starting a stopped line are free; Cable Terminals Vintage telephone, Phone companies, Diy electronics from www.pinterest.com Costs $9.99 and is bundled in with our cell phones. Ee £30 £30 for a new line or reconnecting line. I'd recommend ringing our house moves team on 0800 013 2632 as we'd be able to arrange this like a house move.