We've just made the same move - DG is there and I'm about to follow.
There's a new mother's support group, which a friend of mine recommended -
www.nmsg-singapore.com/
There are also loads of clubs and groups as your baby gets older. It really is very, very friendly and an easy place to have small children.
Try to get a visit organised so you can look at Singapore, if you don't already know it, and in particular, before you are seduced by the lower tax rates, check out the cost of accommodation and having a car - cabs are cheap and plentiful, except when it rains, and if you then have to get across town to collect a toddler from nursery, not having a car might start to be a problem.
Living costs are very, very high, even compared to central London.
We have 2 children and looked at 4 bed apartments for s$10k (£5k) per month and came the the conclusion we'd rather not do the move! So if you haven't already, do your homework, make sure you are going to be OK financially. Other than that, I think most people really enjoy it, and while your baby is young is a good time to do the move, much less concern over schooling and so on!
Best of luck.