Yeah, pillow shading is the equivalent of taking a photo with the flash on. It doesn't give you great lighting.
So pick a position for your light (top left or right, bottom, etc.) but not straight at the character.
Good drawing, though, especially the silouette (which is very important for readability) and good colors, only there are IMHO too many of them. You could probably do about the same with a dozen or fewer.