My tips:
Plan where you are going to live VERY carefully. Especially if you are going to be car-less. I say this because with kids who are both going to be both buggy-dependent, if I had the chance to do it again (or the sense to start off with) make sure you are walking distance from an MRT or failing that, very near lots of shops and amenities. My big mistake was being wooed by a beautiful condo and putting that before transport links. We have a regular shuttle bus but then you are bound to that schedule and have to fold the buggy all the time - imagine that with two kids, one of which needs to be held all the time, and add a couple of shopping bags, not to mention sticky, sweaty weather all the time.
A shuttle bus is fine if travelling alone but can be tiring with kids. Ditto problem with relying solely on even regular buses - 99% of the time the driver insists you fold the damn buggy, even if the child is fast asleep, or even if you prefer them to be strapped in so you don't have to hold them, or for safety reasons. I understand if the bus is full, but it happens to me all the time, even on an empty off-peak bus and drives me wild. I try to get round it by telling the driver yes yes, I'll fold it in a sec and then don't, but it all makes for a needlessly stressful experience. Plus you need hands for your bus card that you tap in and out with like a London Oyster card - you'll find you run out of hands very easily. I've had to train mine now they are slightly older to do the tapping for me.
Anyway your alternative is taxis, as they are affordable but again without car seats, to restrain two young kids is not fun either as they are too small for even seat belts.
Oops, I didn't mean to put you off, seriously. Just please bear all this in mind as I wish someone had told me.
There are gazillions of beautiful condos with similar amenities so try to view as many as you can (if you have freedom of choice) and place location high on the list of priorities.
Anyhow to give you the pluses: very easy to make friends and meet people if you have small kids, one of the easiest ways I'd say as you always have the kids in common and a good starting point. Condo living is extremely sociable and you'll inevitably make friends around you. In fact for the car-less this is how friendships blossom I think - you don't have much choice haha! I would recommend the meetup.com website to find local toddler groups etc. There is also SingaporeExpatWives on facebook but I find that lot very scary so tend not to get involved in all that 
Lots to do with small children, great splash parks galore in all these places: Gardens by the Bay, Sentosa, Jurong Bird Park, some shopping malls, but also some local pools have amazing facilities and toddler areas etc. with entry for only a couple of dollars.
Let me know if you need any more specific info.