In case you use moving service, you have to contact a moving company in prior to ask how much the moving expenses will incur. Moving expenses differ, depending on the amount of your property and the distance between the current apartment to the next one. Moving service package for a single household will be a good option to you.
(Reference) University Co-op (Japanese only) https://www.univ.coop/prev/moving/unimove2.html
It is necessary to inform your landlord or realtor that you will be leaving. The period that you must do this is written in your rent agreement.
If you fail to inform in time, you may have to pay rent for 1 month even if you are not living there any longer.
After you leave, the condition of your room will be confirmed. Depending on the condition, money may be returned from your initial deposit.
In case you use a university guarantor system, please inform the university administrative office of your leaving. For details, please see here.
・Leaving Notification and Incoming Notification
You will need to submit a "Leaving Residence Notification" at the City or Ward office where you live and receive a "Certificate of Leaving" within 14 days of your moving date. You will need to submit an "Incoming Residence Notification" at the City or Ward Office of the area you are moving to within 14 days of moving in. If you are moving to a new apartment in the same area, you will need to submit "Changing Residence Notification."
・Resident Card
Registration of new address(Within 14 days of moving)
・National Health Insurance
Return your current Health Insurance Card to your Ward or City Office. You will be issued a new Health Insurance Card from the Ward or City Office of your new residence.
・Child Procedures (If you have children)
Register for Child Allowance and Infant/Child Medical Certificate at your new residence's Ward or City Office.
You will need to notify your water, electric, and gas provider of when they should stop service to your old residence and start it at your new residence. You may need your customer number that is written on your monthly receipts.
If you submit a "Change of Address" application to the post office, they will forward your mail to your new address for 1 year. You will need to present identification and you should bring documentation showing the address of your new residence. You can also register on the Post Office Website.
https://www.post.japanpost.jp/service/tenkyo/index_en.html
https://www.post.japanpost.jp/int/ems/ryugaku/intl_student/index_en.html
Large Waste Item Disposal Homepage:
https://sodai.tokyokankyo.or.jp/Sodai/V2Index/0/0
(Available in Japanese, English, Chinese, and Korean.)
Rules for other large sized items
Notify the center of the item before you plan to dispose of it and buy a stamp from a local convenience store. You will be given a specific day and place to bring the item for disposal. If you are moving or planning to move back to your country, and do not have a lot of time, please notify the center well in advance of your leaving date. You can also apply online or by phone.
Procedures differ according to the area you are residing in. In case you live in the area which is not shown on the website, please refer to your local administration (city/ward office) website and follow their instructions.
*There are specific rules for disposing of certain items, such as fridge, freezer, TV, Air conditioning unit, washing machine.
*Please also see Garbage & Recycling