Grab and Go Breakfast Burritos

Name: Grab-and-Go Breakfast Burritos
Ingredients: 1 small Bermuda onion, peeled and thinly sliced; 2 carrots, peeled and thinly sliced; 1 jalapeño pepper, sliced into rings; ½ cup small cauliflower florets; ¾ cup water; ¾ cup white vinegar or apple cider vinegar; 3 tablespoons sugar; 1 tablespoon kosher salt; 1 garlic clove, crushed; 1 teaspoon dried oregano; 3 cups peeled and cubed russet potatoes; 3 tablespoons vegetable oil; 1¼ cups diced onion; 1¼ cups diced red bell pepper; 1½ cups chopped deli honey ham; 2 (4-ounce) cans diced green chiles, drained, or 12 fresh Hatch chiles, diced; 14 large eggs; ⅓ cup milk; ½ teaspoon salt; 2 tablespoons unsalted butter; ½ cup minced fresh cilantro; 8 (10-inch) flour tortillas; 2 cups shredded cheddar cheese; 2 cups shredded jalapeño cheese