For the tacos: Heat the oil in a large skillet over medium-high heat. Saute the chorizo until cooked through, breaking up with back of wooden spoon, about 5 minutes. Transfer the chorizo to a paper-towel-lined-plate. Add the potatoes and cook, covered, stirring occasionally until soft, 6 to 8 minutes. Sprinkle with salt and pepper. Transfer to a paper-towel-lined-plate.
Whisk the eggs and sprinkle with salt and pepper in a medium bowl. Add the eggs to the same skillet and cook over medium heat, stirring until the eggs are softly set, 1 to 2 minutes. Return the chorizo and potatoes to the skillet and toss with the eggs to warm through and finish cooking the eggs.
Toast the tortillas in a small skillet over medium-high heat, topping each tortilla evenly with the cheese, until the cheese melts and the tortillas begin to crisp on the bottom, about 1 minute. Transfer to a platter. Put 1/2 cup of the egg and chorizo mixture in each tortilla and top with 1 tablespoon of the pico de gallo. Reserve any leftover pico de gallo for another use. Fold each tortilla in half and serve with the sour cream and hot sauce.