Simple Broccoli and Cheddar Soup with Warm Ham & Cheese Sammies

slices Ham

bunch Broccoli, fresh

Carrot, medium very small

Yellow onion, small

Chicken or vegetable broth

Flour

Kosher salt

Nutmeg, fresh

mini loaves Ciabatta or your favorite roll, whole wheat

slices Brick cheese or farmer's cheese

Butter

Cheddar cheese, sharp

Half & half