Sure! Here's a simple implementation of the game you described:
Weather: Sunny
This implementation includes the ability to throw the kids by swiping and taking your finger off the screen. The weather cycle changes the weather every 5 seconds between sunny, cloudy, and rainy. The moon cycle toggles the visibility of the moon every 10 seconds, and the sun cycle toggles the visibility of the sun every 7 seconds. The game is designed for smartphone operation and includes graphics for the kids, house, moon, and sun.