@jujules, I do corporate work. I do it mostly because I didn’t like other things that I tried: litigation (I didn’t like research) and finance (crazy hours, mind-numbingly boring work and crazier people).
When I was in law school, the job market was fine, although it was a few years post-recession so it wasn’t as good as it was probably a few years after I graduated.
You have a good grasp on what private international law is. The only “international” thing about private international law is that there can be a client or other participant in a transaction who is based overseas; the work (negotiating and drafting documents, being on conference calls, etc.) is otherwise the same as domestic transactions.
I can’t think of any books or resources, but I would just figure out what you are truly passionate about and what your limits are (for me, I hate late nights and I hate meetings) and find an area of law that will fit within those parameters.