In a large bowl, toss together kale, quinoa, tomatoes, red peppers, feta cheese, and avocado.
In a small bowl, whisk together olive oil, lemon zest and juice, and Dijon. Season with salt and pepper. Pour dressing over salad and toss until combined.
In a large skillet, melt butter over medium heat. Add shallots and cook until transparent (about 3 minutes), stirring occasionally. Add egg mixture and stir. Cook egg mixture, stirring gently, until set (about 3 minutes).
Divide salad between 4 bowls. Top with equal amounts of scrambled egg. Sprinkle with chives.
Tip: Portion any leftovers into reusable containers. Let cool, then cover and refrigerate for a grab-and-go lunch the next day.