Very general job-related questions

Hi. So, this post may sound dumb.
I would like to explore the possibility of a career with the CIA or FBI. I understand the general mission of each organization, however I really don't know what jobs the agencies have that (a) I would be qualified for, and (b) that are appealing to me. My interest right now stems from the fact that it seems like it would be really, really cool to work for the CIA or FBI.

I have a political science degree, I am getting good grades at a top 20 law school, and I am in very good shape. I have absolutely no law enforcement experience. I am guessing the few true lawyer jobs that the agencies have are extremely competitive, and I do not think I would get one of those. But, I have heard the agencies do look very fondly on a law degree, so I'm assuming they have something down my alley.

I don't really have any idea what I would want to actually do, but I'm pretty open to a lot if anyone can give some general advice on specific jobs that I could look into.

Thanks.