For me chicken soup should be light and brothy, but if you prefer a slightly thicker, heartier soup, puree a cup or two of the vegetables with a little broth using an immersion blender and add to the broth.
Leftover soup can be stored in tupperware containers, leaving an inch of headroom.
Cool completely before freezing for up to two months or refrigerate up to 3 days. Warm before serving. Do not freeze with pasta in the soup, as it will become too mushy when it is reheated.