Split pita apart; tear each half into quarters. Toast and let cool.
Arrange the carrot, cucumber, cauliflower, and radicchio in a portable container. Store pita crisps in a plastic bag.
To make creamy dip: In a small portable container, stir together yogurt, cilantro, lime juice, and a pinch each salt and black pepper. To make spicy dip: In a second small container, combine tomato, red pepper, and a pinch each salt and black pepper. Refrigerate veggies and dips up to 2 days; keep pita at room temperature.