Now, does that apply to movement also? In other words, if you move through a diagonal between hindering and blocking terrain, do you have to stop?

I think you have to stop, 'cause you must go through from from the square that is hindering terrain. You can't go through blocking terrain.

Correct me if I'm wrong.

No it does not. Maybe someone can give you Chapter and Verse but as it was explained to me when I asked this same question: For movement it is assumed that there is enough space between the wall and the dumpster for you to move through without penalty. And the reasoning is that adjacenmt Hindering or Blocking Terrain is considered continuous even along the diagonal.

nope, dont have to stop when crossing hindering/blocking, only hindering/hindering.

So you don't have to stop?

That is correct. You do not have to stop. Is is assumed that there is enough space for you to walk through without a problem.