I mean if I convert to FAA, then my plan is to move to the states and live and work there.
My friend, many people want to get a green card, with the intention to work but a lot of them don't get it. that's just American policy.
I, myself have the US citizenship even though I live in Europe, and let me tell you, every time I go to the American embassy, they are lines and lines of people requesting visas for good reasons who get rejected.
I'm not saying this to discourage you in any way, but rather to give you a heads up. If you wish to work in the United States, then plan carefully.
I hope for you it will all work out.