Can I use plastic containers many shops sell
(like these: https://www.ozbargain.com.au/node/431243 )
for moving long distance?
When I get them delivered from officeworks, there is always some broken. But that is when they are all stacked inserted inside each other - not stacked full of things on top of each other's lids.
So will they work as packing boxes?
They will break especially if you are getting removalists it. If you are moving them yourself and careful you should be fine.