You'll probably find that going to the States with a couple of hundred hours to instruct is a great way to actually start learning about flying! A pilot with 200 or so hours essentially knows nothing, and over there you can instruct, learn, maybe move on to charter flying and build yourself a bit of experience. Most major US airlines won't look at civilian candidates with less than 4000 or so hours because there's a fair amount to be said for actually getting out in the real world and learning to fly in the system. You may have completed a JAA course and spent months learning how to plot nav exercises across the poles, but these 14 exams full of fascinating but useless info will have done little to give you any experience in actually flying.
My advice is build some time in the States. Make sure the school is reputable, and safe. Common sense that applies in any country. Though the pay isn't too hot at $15-$20 dollars an hour, the midwest is cheap to live compared to the EU. Food costs half, and fuel for the car at around 70 pence a gallon.
You'll have to pass the FAA Commercial Pilot test single and multi, followed by the CFI rating for basic instruction. If you want to instruct instruments this will require a CFII rating appropriate to the class of aircraft. The commercial written is straight forward as is the instrument, however, be prepared for extensive oral exams associated with the flight tests unlike in the UK,...especially the CFI initial.
Good luck!