As a petroleum engineer, do you have much control over where you work?

In college i would like to major in pet e. So when you get a job (btw i know pretty much every pet e gets a job but do the companies scope you out or do you look for them?) do you have much say in where you would like to work or do they just give you offers and you pick? I ask because i think it would be cool to work in the middle east or something for at least a little while. Also say after ten years or so do you have the seniority to live where you choose in the US (even if it requires some travel every week to your job site)? Also how would your salary differ between say working at a rig in texas to a rig in the gulf to someplace in the middle east or africa or some other place like that?--if you are a pet e make sure you mention it in the answer. thanks