This has all been done before matey but heres what I have gleamed from my extensive research.
Airlines prefer your training to be done by the same provider , that way they can if necessary get an overview of your training without having to scrape around different organisations. This realistically only applies to the CPL/IR portion you can do your PPL hour building wherever you wish but the advice I have been given from the various training exhibitions , places I have visited and serving airline recruiting staff is try and do your CPL Multi IR at the same place . GS not so much as a lot of people do distance learning then go elsewhere for flying .
You dont really want to make it difficult for a prospective employer to get gen on you , they might just decide the next man is easier.