If you live near OFS you should be able to walk there OK. Singapore sometimes has some pram-unfriendly pavements, but I think around the OFS area they are OK. There are always pedestrian crossings too so crossing shouldn't be dangerous for a person with a pram plus child walking.
You can take a lift down to the MRT if you use it, but even if you live somewhere else you'd still have to do some walking once you got off the MRT to get to school.
Buses aren't so pram-friendly so you might want to avoid them.
Or, like above says, you could take a cab. If it isn't too far a cab wouldn't work out very expensive (probably on a par with the school bus fees), although if you booked one every morning the costs would mount up.
If it was my decision, I'd try for living walking distance from school and just get a cab on those mornings when it is absolutely throwing it down with rain (mornings are not too bad for downpours, but they do happen from time to time). If OFS is anything like our school, you'll find yourself having to go there almost weekly for assemblies, certificate giving and things like that, so living close won't be a bad thing.
You also might find that after being at school for a few weeks your daughter might want to get the bus - when she meets other children who get bussed to school it won't seem so daunting to her (or you!
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Pools should be OK - ours is fairly well looked after and nobody I know has ever caught anything from using it. Some people report that their children seem to get ill quite often when they first get here but ours were fine. If you do find that yours get ill, be prepared to fend off doctors prescribing antibiotics for everything from the common cold to a burnt finger ........you have been warned
I hope your move goes well
