Purée the soup in a blender until smooth. Add the cream, and simmer gently for 10 minutes, allowing the cream to blend into the mixture. Season to taste with salt, garnish, and serve hot.
So, if you do not want to alter the soup's flavor, there is an incredibly easy solution: puree it. To be more specific, puree the cooked components of the soup along with a bit of the stock ...
Add half-and-half and more stock to thin the purée to desired consistency for the soup (this might have to be done in batches). Season to taste with salt and pepper. Reheat in a saucepan before ...