Cute's not my thing. And I find it very hard to explain why I love the Moon Baby stamps so much! I suppose it's just the right side of cute for me.
I really wanted to make the baby rock, too. Last year I made a card with a tilt-pivot mechanism and this card works the same way, except that the mechanism is at the back, instead of the front.
It's quite hard to show it in action, but I'll have a try -
Here's the tutorial
Hope you enjoyed this video.