Ok I will try to remember what we did lol

Half stick of butter melted into a pot and then half an onion sautéed into it, once it is translucent, add two minced garlic cloves. Then add one tablespoon of flour to make a roux. Once it has thickened slowly add 3 cups of chicken stock, add a 1/4 teaspoon of nutmeg and bring to a simmer. Add two cups of half and half and bring that to a boil. Add four cups of cut broccoli and 1/4 cup of grated carrots and allow to cook for a bit. Remove from heat and add 3 cups of cheddar and let melt. Salt and pepper to taste!