Pulse garlic, anchovy if you're using, and shallot in food processor until chopped. With the food processor running, add lemon juice, parsley, kale, basil, and chives. The herbs won't process very well without much liquid yet, don't worry. Patience.
Very slowly drizzle in ¼ cup olive oil until kale and herbs get sufficiently chopped
Every once in a while, turn off the food processor and push herbs down the side of the bowl with a spatula. You may need more or less of the olive oil depending on how well you packed chopped herbs into your measuring cups. Continue until everything is the consistency of a pesto.
Season to taste with salt and pepper. You probably won't need too much salt if you used 2 anchovies, though this is a pesto, so it's better if it's salty.
Store pesto in an air-tight container in the refrigerator for about a week.