There are two camps here, those that believe that the only way forward is to learn in the UK, (otherwise affectionately known as dinosaurs) and those who know that the easiest, cheapest and quickest way is to do the whole thing on an intensive course in the USA. The fact is that the USA is so much more aviation friendly and realistically priced. If doing your flight training over an extended period forgetting what you did in your last lesson because it was so long ago because of the weather on muddy indifferent airfields in the pouring rain under grey skies are what you are what you are looking for, then the UK is the place for you!
It’s true that you will need a couple or three hours on your return to the UK for “differences” training but then the same applies if you do the UK route and then go to fly in the USA. In any event, the money you will have saved on doing your training in the USA will more than pay for the “differences” training and, you will be prepared for the difference in flying on both sides of the Atlantic. Certainly for me, USA training is the way forward. I holiday in the USA and fly into superb locations that can only be dreamt about in the UK.