Congratulations.

There are three delivery companies at KIX - with roughly similar prices. (PASCO / IAS / ANA Skyporter)

For example, PASCO charges 1,890 to deliver a suitcase (up to 25Kg) from KIX to your address in the Osaka area:
http://www.pasco-bag.co.jp/service/price.html

If you find that your belongings are significantly over the airline baggage allowance, then I suggest you look into the services such as "Jetpack" or "Seapack" by Nittsu. I used something like this when I moved here last time:
http://www3.nittsu.co.jp/edoc/PELICA...e.html#ryoukin.

You can make a customs declaration when you arrive at KIX for the items that are being shipped separately. This allows you to import those items as "personal effects" and avoid paying duty. The shipping company should give you all the necessary forms. (i.e. standard packing lists and customs declaration forms for separately shipped personal effects).

I found this was the best service for my needs and budget. I didn't mind packing my own boxes, but I appreciated that the shipping company delivered the boxes and packing materials to my home / Provided all the necessary paperwork and some guidance / Came to pick up the boxes that I had packed / Stored the stuff in Tokyo for some weeks while I searched for a long-term apartment / Delivered to my door when I moved into my home.

It was much cheaper than the "we'll do everything for you" house-moving services (which are wonderful if your company is paying).