Pretty much as Rugby said.
The way I did it was PPL, ATPL exams, get them out the way, then off I toddled to Florida for a few weeks to hour build, it was nice to get the exams out the way before hour building. Then back to the UK to start the CPL/IR at Stapleford, then Bob's your uncle, job's a good 'un.
Oh yeah, the MCC just afterwards.
Plenty of info/opinions on here as to where to do your various components, as far as I'm aware, they're all pretty good (be wary of people on here saying this place is better than that etc, many private agendas.....), go where suits you.
Personally I went to Bristol for the ATPLs, and Stapleford for the flying, and all good.
Ring up the various schools, go and visit, chat to the instructors, get a flavour for it etc.
Good luck, and say Tara to the social life for a while.