Wash and thoroughly dry all vegetables to ensure they remain crisp and the dip adheres well.
In a small mixing bowl, whisk together the sour cream, mayonnaise, dried dill, and garlic powder until smooth. Cover and refrigerate.
Cut the broccoli, white cauliflower, purple cauliflower, cucumbers, and bell peppers into uniform, bite-sized pieces.
Place a serving bowl filled with the prepared creamy dip in the center of a large serving platter.
Arrange the baby carrots, broccoli, cauliflower, sugar snap peas, cherry tomatoes, cucumbers, and bell peppers in grouped sections around the dip bowl.