How to break out Board to FPC connector
These type of connectors are usually called fine pitch board-to-board connectors. I doubt that you'll really find a way to connect to them without having to solder small wire leads. With the right tools, it's not as hard as you think. You'll need some fine gauge wire (wire-wrap works great), magnification, and a soldering iron with a sharp tip. With a little practice, I'm sure you can do it!