The advice that MikeF16 gave is good with one exception. You can build up a lot of hours flying cross-countries in a T-1 but the airlines LOVE heavy/International time. At my interview at UPS (1994) the pilot interviewer asked me about NAT tracks. I proceeded to tell him more about them than he was expecting or knew himself. He started to take notes and told me "Don't be nervous that I'm taking notes, I have to fly to Cologne next week and you know more about this stuff than the guys who instruct here" I got the job. With the internation experience there is no facet of airline flying that will be new to you.
Good luck at UPT