The first time we traveled with our baby boy was when he was four months old. I had just relocated to Singapore a few months earlier and my wife and son where coming over to finally join me.
Singapore has a sterling reputation as a very child friendly place to visit. And this reputation is very well deserved. From being very clean to having a very low crime rate, Singapore is a fantastic destination when traveling with small children.
Transportation
Taxis - Easiest way to get around. Singapore taxis are clean and efficient. Most drivers are friendly and speak English. Lots of clearly identified taxi stands and you can flag down a taxi in most places in the city except along major roads (like Orchard).