I don't have a recipe per se. But here's what I'd do:
1. I'd cook the onions in some butter or oil, until they're starting to get soft. Then I'd add the carrots and celery and turn the heat up a bit so they brown just the tiniest bit.
2. Put them aside. Put the chicken in the pot in some oil and brown it on all sides. Then add the onions and veggies you put aside, and cover it all with water. Bring it to a boil, then turn it down and let it simmer an hour or two, until the meat is falling off the bones. About fifteen minutes before it's done, add some dill, some parsley, and as much salt and pepper as you think you'll like.
3. Take the chicken out. Pick off all the meat and cut it up, and add it back to the soup. (if it's a whole chicken, find a toddler or preschooler to play wishbone with!
) Cook some rice separately and add that. Then thicken the soup by putting some cold water in a little jar with a tight lid and adding some flour or corn starch to it. Shake it vigorously until all the flour is "dissolved," and add it to the soup and let it cook a few minutes. Taste, and salt/pepper more as you need to.