In the heart of Bukit Timah looking out on beautiful countryside with riders training their horses is Riders Cafe.
This is a great place to take your kids for brunch and to watch the horses.
Every weekend at 10;30am for $10 kids can enjoy a pony ride (if under 5 they need to be accompanied by an adult).

They are open throughout the day - six days a week. But make sure you make a booking because they fill up quickly.