Ham and Cheese Soup

Folks-
I decided late last year that I needed a new ham soup recipe. I found a good one online at "A Taste of Home," and as usual, spent time modifying it until it was perfect from my families perspective.
By 2017, my daughter had convinced me to try chopped broccoli instead of the shredded carrots. She's right, it's better. I'm including that variation here.I
Pro tip: make this using two pots that are much larger than you expect you'll need. It seems to somehow end up being a much larger recipe than you'll think it will.

Here's my version:

Ham and Cheese Soup

2 Cups peeled diced potatoes

2 Cups water

3/4 Cup shredded carrots or 3/4 to 1 cup chopped broccoli, frozen or fresh

1/3 Cup chopped onion

1/4 Cup cubed butter

1/4 Cup flour

2 Cups milk

1/4 tsp salt

1/4 tsp pepper

2 Cups shredded cheese (cheddar, sharp cheddar, jack, or a blend)

2 Cups cubed fully cooked ham

In a pot, combine water, potatoes, carrots and/or broccoli, and onions. Bring to a boil, reduce heat, cover, and simmer for 10-15 minutes or until tender. After covering the potato mixture, melt the butter in a large saucepan. Add the flour and stir until smooth. Gradually add the milk, salt, and pepper. Bring to a boil, and stir for two minutes or until thickened. Stir in cheese until melted. Add cheese mixture to undrained potato mixture. Add ham and heat through.

Modified from a recipe at:http://www.tasteofhome.com/Recipes/Cheddar-Ham-Soup