Boil the diced potatoes in salted water until tender, about 10-15 minutes.
Drain the potatoes and let them cool completely.
In a large bowl, combine yogurt and mayonnaise for the dressing.
Add lemon juice, salt, and pepper to the dressing and mix well.
Stir in grated carrots, dill, and parsley.
Add the cooled potatoes to the dressing mixture.
Gently fold the potatoes into the dressing until well combined.
Taste and adjust seasoning as needed.
Transfer the salad to a serving dish and garnish with additional herbs if desired.
Chill in the refrigerator for at least 30 minutes before serving.