I would be partial to Qatargas since I know of many Filipinos who are working there.The Filipinos who get to be dispatched by Foreign Supply Companies get to share with the best package.
When one is hired directly an enormous difference in salary awaits the candidate. Unlike if you apply through, local employment agencies where exorbitant fees will be charged and there is definitely big cut in salary to compensate for the effort and income of the Philippine local employment agencies. But it would be best nowadays to try applying online. After all today is the era of Internet: where geographical boundaries is not a hindrance anymore to reach the other side of the world. The world is just a click away.