Hello, my name is Caz. I am an illustrator/designer and I am very interested in your projects as I have a passion for children books.
Because you haven't provided much detail about what you want, I would take a wild guess. Since the duckling will visit animals from A to Z, I assume you would need at least 26 illustrations and a cover art for the book. I would suggest that the art be in color since it's a children story.
I could provide the rough sketches after a week. Then you could decide what you want to keep, what you want to change, that should take another week or even sooner. Then I should ink and color the illustration digitally (if that's what you prefer because I mostly do digital artwork), that should take 10 to 14 days.
Work would be done digitally and I would deliever the files in any format you want. That's a very rough outline of what I'm gonna do since we would need more discussion in order to reach a final timeline.
Thank you for your time! Have a nice day! I'm looking forward to know how the duckling's story goes!
Caz