Cartoon animation lighting


I have a problem with a project, something like the nursery rhymes on youtube (ex: example). I made all the modelling, texturing and almost the entire animation, but now I have problems with lighting.

The problem is that I don’t know too much about lighting, or I didn’t found the right recipe. Could anybody give me some good advice about what kind of lighting are used in the before mentioned type of animations.

Thank you very much for any help.