Tip the cottage cheese into a fine mesh strainer over the sink. Let it sit for two or three minutes. I gently press it with a spoon to release extra whey, because wet cottage cheese makes a runny dip.
Mince the garlic as finely as you can. Chop the dill and chives into small, even pieces. Roll the lemon on the counter first, then juice it, since this gets more juice out.
Add the drained cottage cheese, lemon juice, garlic, olive oil, salt, and pepper to your food processor. Blend for 45 to 60 seconds, scraping down the sides once. Stop when it looks smooth and thick, like a soft sour cream.
No blender? No problem. Mash the cottage cheese with a fork in a bowl, then whisk hard for two minutes. The dip will be a little rustic and textured, and honestly I love it that way.
Stir the dill and chives into the creamy base by hand. Blending them keeps the dip a pale green, while folding keeps them bright and visible. I prefer folding because it looks more fresh.
Take a small taste with a cracker or a carrot stick. Add a tiny pinch of salt or an extra squeeze of lemon if needed. Small changes make a big difference here.
Spoon the dip into a serving bowl and swirl the top with the back of a spoon. Add a drizzle of olive oil and a dusting of paprika. Chill for 30 minutes if you can, because the flavors blend and the dip tastes better.