the nearest library fr you would prolly be the central public library?
National Library Board Singapore
There's lots of great children books (even for toddlers - nice board books). Some libraries have storytelling time.
If you shop at forum, drop by bookabura, they have wide variety of books for kids, and they hav a lil corner with bean bags for the kiddos to do reading.
You may wanna sign your kids up fr some classes? eg Julia Gabriel/ Kindermusik / Gymboree? Good place to meet up with other mommies and tods.