I've worked at a few flying schools and airfields in Scotland and will give a couple of pieces of unbiased advice.
Firstly, I'll reinforce what has been said about paying up front for flying training. Don't. Too many schools have gone down the toilet with little or no warning, taking your cash with them. I know, I worked for one...
Also, although EDI is great for learning punchy RT and mixing it with the big boys, don't underestimate the extra cash you'll spend transiting to Glenrothes to do circuit trips. There's no substitute for training at an airfield into whose own circuit you can launch for training when the weather would otherwise preclude any flying away from the airfield. I worked at EDI in my first instructing job and had to detach to Cumbernauld for circuits, adding at least 30 mins of transit time to the student's bill for each trip.
On the other hand, I have worked for a couple of schools at Cumbernauld, and students benefit from no delays, uncontrolled airspace, and the reponsibility and decision-making that comes with flying in an air-ground radio environment. In order to expose students to controlled airspace and wake-vortex separation I took them to Prestwick so that they could mix it with 747s.
I don't agree with the narrow-runway at Cumbernauld comment. If the student can hack landing safely on a narrow runway then they will be a better pilot. Same goes for the 18m wide runway at Glenrothes. It doesn't affect the crosswind limit for the student or the aeroplane.
As regards training progress, I completed an RAF flying scholarship and PPL at Dundee in March in a total of 4 weeks (a long time ago...). That included 9 non-flying days due to weather. I did fly 5 trips in one day sometimes; started on Monday, went solo on Saturday! Don't recommend it for fun ppl training though...
ST