Broccoli Cheese Soup

I love soups at this time of year.  I think I've only attempted making broccoli soup twice in our entire marriage but this is a recipe I will definitely make again!  It's easy and super tasty.  This recipe comes from Mel's Kitchen Cafe, although I've modified it just a bit. 

Broccoli Cheese Soup

1 3/4 cups chicken broth (1 can)
1 small onion, diced
1/3 cup all-purpose flour
1/4 cup (4 tablespoons) butter
1/2 teaspoon pepper
1/2 teaspoon salt
2 cups milk
1 1/2 cup shredded sharp cheddar cheese
1/2 cup shredded swiss cheese  (Didn't have so used another 1/2 cup sharp cheddar.)
2 1/2 to 3 cups chopped, lightly steamed broccoli  (I didn't steam mine quite long enough.  You want it to be soft, not crunchy, but not soggy because once you add it to the pot your soup is pretty much ready to serve...so it doesn't cook much more.)

Simmer chicken broth and chopped onion for 15-20 minutes in a covered small saucepan, until onions are soft. Heat milk in microwave for 1-2 minutes. In a separate medium-sized stockpot, melt butter then add flour, salt and pepper. Cook together, stirring constantly, for 2 minutes, then whisk in warmed milk. Stir and heat together on medium heat until soup starts to thicken, about 5-8 minutes. Add warmed chicken broth and continue to stir until well blended. Add cheeses and stir until completely melted. Stir in steamed broccoli. Add more salt and pepper to taste, if needed. Serve immediately in bowls or bread bowls.