hi
in these forum we are not discussing prices. it is a professional place to answer your questions and not a market place
I really don't understand your question? if there is one.
I think bottom line you will need to pack your stuff (be aware of insurance coverage) and than ask the movers to provide you with an estimates
Estimate's should be more or less the same give or take $500.
please note Australia and new Zealand have the option for fast delivery via direct ocean lines but in most cases household goods will be shipped via the far east.
you can not compare rates to Japan if your final destination is Australia.
you wrote:
"....I'd guesstimate the total weight to be somewhere around a 1000 pounds, give or take a couple hundred. " ---> how many hundreds???? in these case the mover will quote you per 1000Lbs and it will end up in 1,500 Lbs, you might think and will complain about fraud.
"......$4100 is brutal" --> no such thing !!! you can decide to go with someone else than.
good luck
dan
