Very often CD burning software that is bundled with a writer is "doctored" so that it only functions with the drive it was supplied with. It is most likely that you current software will not function with a new machine (even one of the same brand but different model).
It is common to include burning software with new writers. Have you checked to see if this one does? If not, you can buy Nero quite cheaply but it makes your sixty quid bargain not quite so attractive.