Thanks for all your inputs!
I'm quite unsure whether FAA + conversion or JAA from the beginning would be the best way. Several pilots I know flying bizjets, light props and in the military tell me to get the JAA done from the beginning, people here consider converting as a better option
So far, lots of comments about Florida, thx for that. How about the other lower states? Any JAA training approved FTO with a good reputation?
I don't really care going for the cheapest school, but I want to have a quality one where people treat you not just as their business, but somehow really try to be your mentor

whatever hehe.
I've heard about Rainbow Aviation and Group3 Aviation in SoCal. Heard they're quite good.
A friend of mine did his training at Prairie Air Service in near Wichita, Kansas. Anyone heard of those? He said it's by no means anything fancy and a very small school, but that chief instructor has like 23k total time and more than 18k in instructing
Thanks!