Prepare the Dough. In a large mixing bowl, combine the flour, salt, and baking powder. Add the vegetable shortening and mix until the mixture resembles coarse crumbs. Gradually add the warm water, mixing until a soft dough forms.
Knead the Dough. Turn the dough out onto a lightly floured surface and knead it for a few minutes until it becomes smooth and elastic. Divide the dough into equal-sized balls and let them rest for about 30 minutes, covered with a clean kitchen towel.
Roll Out the Tortillas. On a floured surface, roll out each dough ball into a thin, round tortilla using a rolling pin. Aim for a thickness of about 1/8 inch.
Cook the Tortillas. Heat a skillet or griddle over medium-high heat. Cook each tortilla for about 30 seconds to 1 minute on each side, or until lightly browned and puffed up. Keep cooked tortillas warm in a clean kitchen towel while you cook the remaining ones.
Serve and Enjoy. Once all the tortillas are cooked, serve them warm with your favorite fillings or dishes. Enjoy the authentic flavor and soft texture of these homemade flour tortillas!