Both Archival Methods -
https://www.archivalmethods.com/
and University Products
https://www.universityproducts.com/ have acid free tissue paper and storage boxes. Both companies are great to work with and have been in business for many years.
If you go to the bottom of the page for Archival Methods they have links for their blog, videos and referrals. The bottom of the page for University Products has a link for tips and videos.
I agree that fully wrapping them in archival tissue paper is a very good idea. I would also consider the storage boxes. A single box for each jersey would be the best idea. It can be pricey, but in the long run probably worth it.