To make the Dill Pickle Slaw: In a large bowl, stir together mayonnaise, dill pickle juice, mustard, apple cider vinegar, hot sauce, and a pinch of salt and pepper. Using a box grater, grate carrots and pickles. Stir cabbage, carrots, and pickles into the mayonnaise mixture. Stir well to combine and season with salt and pepper. Store in the fridge, covered, for up to 4 days.