Preheat oven to 375 degrees and line 2 baking sheets with parchment paper.
The puffs need to start out in a well heated oven so the liquid in the dough steams and then evaporates to create a hollow, puffy core.
In a large saucepan, bring water, butter and salt to a rapid, rolling boil. Make sure all the butter is melted, and then add flour. Stir the mixture for 20-30 seconds, until a sticky dough ball forms and begins pulling away from the sides of the pan. Reduce heat to low-medium heat and cook, stirring, for 90 seconds. Remove from heat and set aside for 5 minutes to cool.
Beat in eggs, one at a time, after above mixture cools along with cheeses and seasonings. Place heaping teaspoonfuls onto prepared baking sheets 1 inch apart. Bake, rotating sheets halfway through, for 25-30 minutes. The Gougeres are done when a deep golden brown and puffed.