2. Weak Hand
Once you can dribble decently with your strong hand, you want to start working with the other hand. That way one hand does not get too far ahead of the other.
You will have a rather tough time with your weak hand at first, but eventually you will get the hang of it. So, basically just work with it as much as possible. Eat your food with your weak hand: cereal, soup, etc. Eventually you won't be able to tell the difference between the two hands and dribbling will come naturally for your weak hand.