I can answer on your question bkz do the same thing. It will be very hard for you - a lot of American pilots would like be hired an major airline, be sure they have enough expirience to get this place. And you have to strive for this place very hard. In any case you've got a GC it means you wanna live in U.S. Therefore begin for getting ATPC, prepare resume and look for pilot job
here. And enjoy if you get it fast - CRJ, right seat, 20K