What should I do with my luggage from Pudong, Shanghai to Chicago and transfer to Syracuse the next day?

It depends on the details of your ticket.

General flow: You check your luggage in Pudong, Shanghai. Fill in "I-94" and "US Customs Declaration Form" on the plane. Submit "I-94" and produce "Customs Declaration Form" to the immigration officer of the Immigration Department for inspection. After passing through the entry-exit administration department, everyone must pick up their luggage, and then push all their luggage (including checked luggage and carry-on luggage) to hand over the "customs declaration form" before passing through the customs.

After passing through the customs, find the conveyor belt where your airline carries luggage and put it on it. There are staff around them. They want to see the luggage tag on your luggage. This is re-shipment after customs, not re-consignment.

If you are the same airline and have the same ticket, then at Pudong Airport, the staff at the check-in counter will give you two boarding passes (Shanghai Pudong Airport-Chicago; Chicago-Syracuse), your luggage tag is "Pudong Airport-Syracuse". As for the specific practice, it is the above process.

Case 2: The same airline, but not the same ticket.

You have to find the check-in counter of that airline again and go through the formalities of changing boarding pass and checking luggage.

All international arrivals in Chicago are in Terminal 5, and domestic flights in the United States are at T 1, T2 and T3, with airport light rail in the middle. The airport is very big, but fortunately, the signs on the airport signs are clear.