Some limes might be bitter for your taste. Omitting the lime and using just the orange and lemon will still give you great citrus flavor.
How to Grate Citrus Peel
Always wash and dry citrus fruit before grating. Move the whole fruit up and down on the side of the grater with the smallest holes to remove ONLY the surface of the fruit peel. (The inner white part is bitter.) Continue to grate the fruit until you have the desired amount of grated peel, rotating the fruit on the grater as necessary. Use a pastry brush or old clean toothbrush to aid in cleaning grater.
How to Safely Handle Raw Chicken
Always wash hands, preparation surfaces and utensils in hot, soapy water before and after contact with raw chicken. Dry hands and surfaces with a clean towel or paper towels. Take special care in washing worn cutting boards as there may be hard-to-clean grooves or cracks that can collect bacteria.