Talking about the DS, if you have a DSi or 3DS there's a great program on it called Flipnote Studio which is good for learning to animate.
The way to animate moving objects is to draw a few different pictures, called keyframes. Three of them is probably enough for a simple animation. Once you have keyframes, it's not hard to look at two frames and draw what should go between them.
This tutorial is really good at explaining animation. It says it's for flash, but what it teaches works well even for traditional hand-drawn animation.
Since the tutorial is made in Flash you won't be able to see it on a phone or tablet, you will need a computer to see it.