You might be tilting your head back a little bit too far if you are getting water up your nose. Just try lightly tilting the head back, not trying to look at the surface of the water. The water in the mask should clear with a simple exhale through the nose.
I normally exhale through my nose while diving. The air exits around the temple making smaller bubbles than exhaling out the regulator. If the mask fogs, then simpling flushing it with water tends to clear that problem up. 