Alkatifa,
You need ALOT of reading and investigating before even thinking about taking the plunge... there are several EXCELLENT flying schools (FTO's) in Portugal, depending on your location. Please beware that doing the course not only requires a conversion FAA to be able to fly in Europe but also the cost might not be that much lower than in Portugal if you include the accommodation, the flights (and all the expenses associated with moving abroad which are huge.
I really advise you to read as much as you and THEN talk to someone who's finishing the course or has just recently. This change quite rapidly and on this particular issue the advise of an experienced pilot should be heard as well but I'd look for someone actually going through the process.