It is difficult and uncomfortable to travel with a big luggage all over Japan.
Instead of traveling with all our heavy luggage, we sent it directly from our hotel in Osaka to our hotel in Narita via Kuroneko. We gave the luggage and paid the service to the front desk.
It was less than $20 per luggage.
If you want to take your luggage to the shinkansen, in the last row of seats there is space available for 4 luggages.
You can also ask the hotel if you can leave it for some days.
Main subway and train stations have lockers for luggage.
I took my big luggage from Tokyo to Osaka, then took my carryon to travel to other cities and sent back the heavy luggage to Narita. Less stress that way, japanese people are used to send their luggages to their homes or airport using furoneko, its an excellent service^^