Don't peel potatoes if you can help it. Wash well and cut in half or in quarters. If you are using a large potato like russet, cut into quarters.
Boil potatoes until tender. Drain.
Into potato pot, add butter and salt and swish pot around to get coat potatoes. If you are using like a golden small potato, use a spoon to lightly mix. That kind of potato will quicker absorb the butter.
Add chopped chives and dill. Gently mix to coat potatoes, trying to keep their quartered shapes.