Cover potatoes with salted and cold water by one inch and simmer, covered, in a saucepan until tender. This will likely take 15-20 minutes. Drain the water and cut the potatoes into quarters. Pour these quarters into a bowl and stir with oil, lemon juice and zest, chives and however much salt and pepper you enjoy. Cut the avocado into ¾ inch pieces and add to the mix, tossing gently. Eat and enjoy!