This here is the world-famous "Endless Carrot Soup." I posted a more overview-ish recipe a while back, but this will likely be the variation--of the endless variations, hence the name--possible with this soup. As you pore over the measurements and times keep in mind this is pretty freehand, measure-by-eyeballing stuff, so don't get all hung up on the exact thing written.
1 large onion or two medium leeks (white & pale green parts only) 2T butter or rendered bacon drippings (or a combination) 2t smoked paprika 2 cloves garlic 1 lb. carrots 2 c. chicken stock
Here is the tricky bit! This soup tastes better made a 2-3 days before so you should stop here, and allow it to cool. Cool soup will be much easier to puree in a regular blender (pureeing hot soups in blenders will be slow or explosive or both) until the soup is smooth. You can, of course, use a food mill, food processor, or a hand blender but nothing beats the regular blender for smoothness. After pureeing, which can be a couple of days before, bring back to a simmer and season with salt--be careful if you used commercial chicken stock!!!--and pepper to taste. Ladle into bowls or tureen and finish soup with some creme fraiche (or cream or sour cream) swirled all pretty-like to the tune of about 1T per bowl and a sprinkling of crumbled bits of bacon and/or minced leek tops (the medium green parts, the "ashy" green parts are mostly useless) or chives.
There ya go. Stress-free, make-ahead and stunningly delicious. Good for ya, too.
-J.
P.S. You can use scallions or shallots in place of the onions and SHARPLY seasoned, homemade croutons are also good. (Croutons in the box are best left there.)