Mix the cream cheese, basil, chives, parsley, lemon juice, and sprinkle with salt and pepper together in a bowl. Lay out the tortillas and spread with the herb cream cheese mixture. Next, layer on the turkey, carrots and cucumber onto each tortilla. Like making sushi, roll the tortillas up tightly, then wrap in plastic wrap and refrigerate, about 1 hour. When ready to serve, unwrap the sushi rolls and slice into quarters.