Water must be warm in order to activate yeast, but not boiling. Boiling water will spoil yeast.
You can replace ¼ of water cup with milk, white or red wine.
You can also replace sugar with 1 tbsp of honey.
If you like a stronger cheese flavor, you can add on top of ingredients, little chunks of blue cheese.
Never wash the mushrooms with water, in order to make pizza. Mushrooms are like sponges, and will lose unwanted water to your pizza. You can clean it with dry paper towels.
You can try different toppings to basic pizza dough, and even add cheese borders. To do so, you should roll out pizza into a larger size, adding cheese one inch from the border, and little pizza sauce. Roll dough over the cheese and press firmly to close.