I found this hat on Ravelry and LOVED it. The pattern is for adults but there are a few mods for little ones. If you don't have ravelry and want to make one you can find the "smaller version" HERE.
I absolutely love the way it turned out, and if I didn't have such a busy life I would have finished it a lot quicker. So it took me roughly 4 days so not too bad but definitely quite a bit longer then my crochet counterparts :). I will definitely revisit this one for the 3yr old.