Baking soda is a natural deodorizer and salt exfoliates your skin to get rid of deep odors. Salt could sting if you have any open cuts or dry skin on your hands.
Be careful using lemon juice if you have cuts or dry skin since it may sting.
If you have a stainless steel sink, you can rub your hands on it instead of using a utensil. You can get a stainless steel soap bar to keep near your kitchen sink whenever you work with garlic or other smelly ingredients. Cold water helps shrink your pores so the odors don’t get caught or stick around.
Your hands might smell a little like vinegar right after you clean them, but the smell will go away after a few minutes. If the smell bothers you, wash your hands with soap and water.
You can use mouthwash to get rid of garlic breath too.
If you’re going to be touching other food, avoid using perfume or cologne since the smell could transfer to the food and leave an unpleasant taste.