Sure! Here's an example of a game where you can take care of five little kids using JavaScript and HTML. Please note that this is a simplified version without actual animations or pictograms, but it should give you a starting point:
To play the game, you can save the HTML code into a file with the extension `.html`, and then open it in a web browser on your smartphone. You'll see five little kids represented as colored circles. You can touch and drag them around the screen. The kids will stay within the bounds of the game container.
Note: This game does not include the weather or moon cycle features you mentioned, as that would require additional complexity and external APIs. Additionally, the game does not have walking animations as that requires more sophisticated graphics and animation libraries.