You can easily substitute with frozen veggies in this recipe without worrying about thawing them first. This saves you even more time prepping and cleaning up but may make your soup a tad more watery.
Both mild and sharp cheddar work well in this soup, but realistically, you can use any kind of cheese you prefer. I always suggest shredding your cheese straight from the block as the pre-bagged shredded cheeses contain anti-caking agents which prevents the cheese from melting and can also cause the texture to be grainy.
You can substitute the half and half with heavy whipping cream if needed.
If you like your carrots to not be as prominent, shred them finer on the grater. Carrots will add texture and color to this soup, but you can omit them if you prefer or substitute them with additional broccoli.
Blitz the soup with an immersion blender if you prefer a smooth consistency.
Store cooled leftovers in an air-tight container kept in the refrigerator for up to 4 days.
Reheat the soup over medium-low heat on the stovetop until heated through. You may want to add a dash of chicken stock or water to help loosen it up.