There are links to two different forms on the File A Claim page [1]: A PDF for adults as of 5/13/2017 [2], and one for minors as of 5/13/2017 [3].

It looks like, if your goals are a balance between receiving the settlement, privacy, and effort, the PDF (probably [2] if no minors were involved) is the way to go.

[1] https://www.equifaxbreachsettlement.com/file-a-claim

[2] https://www.equifaxbreachsettlement.com/admin/services/conne...

[3] https://www.equifaxbreachsettlement.com/admin/services/conne...