Peel the potatoes and cut them into 1/3-1/2 inch (1-1.25 centimeter) thick strips.
Place the cut potatoes in a large bowl and cover with cold water. Set aside for 30 minutes to 1 hour.
Fill a large saucepan with at least 2 inches (5 centimeters) of vegetable oil and place over medium heat.
Cover a large plate with a layer of paper towels and set aside.
Drain the soaked potato slices and pat dry with a towel.
Once the oil reaches 350˚F (180˚C), carefully add a few of the potato slices without over-crowding the pan.
Fry until lightly golden and tender, then transfer to the towel-lined plate. Repeat with the remaining potato slices.
While the potatoes are frying, place another pan over medium heat and add 1 tablespoon (15 milliliters) of vegetable oil.
Thinly slice the hot dogs on the diagonal into 1/4 inch (6 millimeter) thick ovals. Another option is to cut a hot dog crosswise into 1-1 1/2 inch (2.5-4 centimeter) slices. Place the hot dog cut-side up and cut a cross halfway through the top to make four segments that aren't cut all the way through. Repeat with remaining pieces.
Once the oil in the pan is heated, add the hot dogs slices, in batches if needed.
Cook, stirring occasionally, until heated through and golden. Transfer to a plate.
If desired, fry the cooked potato slices a second time just until heated through to make them extra crispy.
Season the fries as needed with salt and optionally black pepper.
Divide the fries between individual bowls or plates and top each with a few of the sliced hot dogs.
Top with desired sauces and serve immediately.