If you have a double stroller and takes only MRT, think should be ok.
I usually travel by MRT with 4 kids aged 8, 5 , 2 and 8 mths old.
Of cos, your mum or MIL must be able to control them or else it would be disastrous.
Alternatively, you can try a nearer childcare to home which is much more convenient for all.
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