As Synthia mentioned, your best bet may well be with the green card lottery - except that I don't see Azerbaijan listed under the eligible countries. The new application period is opening soon, though - I think it's in April. Definitely worth looking into.

For almost any job-related visa (except perhaps a "nanny" visa) you are going to need a couple of years of job experience in your country or elsewhere before most US employers will even consider going through the hassle (and it is a hassle for them) of sponsoring an overseas candidate.

You may want to consider a student visa, if graduate school is a part of your plans. It's an expensive way to do things, but you can often make good contacts during your studies that could help you land a job in the US, either on graduation or later on in your career.
Cheers,
Bev