Beware of my cheeky responses, they may seem rude but the advice is serious
Having moved more times than I care to count, I can tell you from vast experience that there is no magic bullet to moving your belongings around the world cheaply. Almost all removals are done by sea already as shipping by air is
really expensive... the only things I can advise are to think long and hard about what you
really need to ship, most furniture and nearly all appliances are effectively disposable (ie. they are replaceable and the cost to buy new is often less than the cost of shipping). If you have elite status in a frequent flyer program, you may be able to get up to 40 kg baggage allowance free, perhaps even more if heading to the US/Canada. For books, inquire about "book rates" which can be much, much cheaper than normal postage -- although I'm not sure SingPost supports this.
For the hardcore cheapskate, you can actually rent your own container or portion of one and cut out the middleman for the long journey home. This isn't really feasible though unless you have a) a
lot of stuff to ship and b) lots of time on your hands to fight through the bureaucracy; the one guy I know of who did this was building a house in Japan and imported half the materials from the US this way.