In a medium bowl, beat the eggs until foamy.
Mix in the milk and vanilla extract until well combined.
In a separate large bowl, whisk together the flour, baking powder, cinnamon, nutmeg, salt, and granulated sugar.
Pour the wet ingredients into the dry ingredients and stir until the batter is smooth and lump-free.
Heat vegetable oil in a deep pot or heavy skillet to 375°F (190°C).
Carefully drop spoonfuls of batter into the hot oil, working in small batches so the pan does not get crowded.
Fry the Funnel Cake Bites for 1 to 2 minutes per side, or until golden brown and cooked through.
Transfer to a paper towel-lined plate to drain excess oil.
Dust generously with powdered sugar while still warm and serve immediately.