I love carrot soup!
I'm not a big fan of carrots, never eat them plain.
The first time I was offered cream of carrot soup I turned my nose up but tried it anyway.
OMG, I was hooked.
I usually make it with tarragon, sometimes dill, sometimes plain.
I never strain it, I like the mouth feel of the pureed carrot bits.
While I've made this soup with vegetable stock, or sometimes just caramelized celery, onions and some of the carrots, my personal opinion is that it's best when made with chicken stock.
Congrats on your soup!