In a large saucepan, combine the pasta, chicken broth, and milk over medium heat.
Cook, stirring often, until al dente, barely tender, about 15 minutes. If the liquid evaporates before the pasta is done, add a little more broth or milk.
Stir in the Dijon mustard, salt, paprika, black pepper, garlic powder, and onion powder.
Remove from heat and wait for the mixture to stop bubbling.
Stir in the shredded cheddar, mozzarella, and Parmesan, a handful at a time, until smooth.