You turn your work, just as if you were knitting flat and turning for a new row. It doesn't matter which way you knit. The left needle goes to your right hand, the right needle goes to your left hand, and you work back across.
For the bind-off, I can't help you. I've heard of casting on with the backwards loop, but not binding off. If you can link to the pattern, or provide a bit more of the directions, it could be helpful