01 - Heat a skillet over medium heat. Add the ground beef and cook, breaking it apart with a spatula, until fully browned. Drain excess fat and set aside.
02 - Transfer the cooked beef to the slow cooker. Add the diced potatoes, onion, carrots, celery, and garlic.
03 - Sprinkle the flour, thyme, parsley, paprika, salt, and pepper over the ingredients. Stir well to evenly distribute the seasonings.
04 - Pour in the beef broth. Cover and cook on LOW for 6 hours or on HIGH for 3-4 hours, until the potatoes and vegetables are fork-tender.
05 - In a small bowl, whisk together the milk and softened cream cheese until smooth and no lumps remain.
06 - Stir the cream cheese mixture into the slow cooker along with the heavy cream and shredded cheddar cheese. Mix until fully incorporated.
07 - Cover and continue cooking on HIGH for an additional 20-30 minutes, until the soup is creamy and slightly thickened.
08 - Taste the soup and adjust salt and pepper as needed. Serve hot, garnished with chopped fresh chives, extra shredded cheddar, or crumbled bacon if desired.