In a large skillet, brown the breakfast sausage over medium heat until fully cooked and no longer pink. Add the diced kielbasa to the skillet and cook until browned, stirring occasionally.
Transfer the cooked meats to a plate and set aside.
In the same skillet, add the hash brown potatoes to the drippings and sauté until they are tender and crispy. This should take about 5-7 minutes.
Then, mix in the diced bell peppers, onion, jalapeño, salt, and pepper. Cook for an additional 3-4 minutes until the vegetables are softened.
In a bowl, beat the eggs and season with salt and pepper. In a separate pan, melt butter over medium heat and pour in the beaten eggs.
Cook gently, stirring occasionally, until soft curds form, which should take about 3-4 minutes. Remove from heat.
Assemble the burritos by laying out the tortillas on a flat surface. On each tortilla, layer cheese, a portion of the cooked meat, scrambled eggs, and the potato-vegetable mixture.
Roll the tortillas tightly, tucking in the sides as you go to form a burrito.
Heat vegetable oil in the skillet over medium heat. Place the assembled burritos seam-side down in the hot oil and fry until golden and crispy, about 3-4 minutes per side.
Remove from oil and drain on paper towels.