Hi Canada,
Welcome to Singapore.
Check very carefully with your
Moving Company, they usually prohibit the transport of all foodstuffs. The chances of it arriving in Singapore, months later and still edible are pretty high anyway. You can slip a few boxes in your suitcase however.
Ten dollar Cheerios are just one of the **joys** of living in Singapore. Better to pay the exorbitant prices on a few luxuries to keep the kids happy and save on the other stuff you can bring back: good kids shoes and clothing, shoes for yourselves, clothes for yourself, bedlinens, DVDs, books, favorite over-the-counter medications, etc...
Regarding your question about furniture on another post: friends that have moved large Asian-bought teak back to dry climates like California had some pieces crack and rend. It's the lack of humidity on the other end that is a problem. The items you bring from Canada should be fine, the drawers may stick a little, not a big problem. I have a few pieces that I have brought back to the US and they have done fine.
Hope this helps.