01 - Heat a skillet over medium heat. Add the ground beef and cook, breaking it apart, 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 coat everything evenly. Pour in the beef broth.
04 - Cover and cook on LOW for 6 hours or on HIGH for 3-4 hours, until the potatoes and vegetables are completely 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. Cover and cook on HIGH for an additional 20-30 minutes, until the soup is creamy and slightly thickened.
07 - Taste the soup and adjust salt and pepper if needed. Ladle hot into bowls and garnish with fresh chives, extra cheese, or crumbled bacon if desired.