As of the end of March 2015, both of the mansion building laundry rooms have already been converted, as has the Alligator Bayou laundry next to the quiet pool by building 18. The room by the 'twenties' pool is currently closed while work is completed on swapping the machines, leaving just the final laundry room in the Alligator Bayou thirties section to be completed very soon.
Note: As Disney is using an off-the-shelf card processing solution, there is no facility for guests to pay using Magic Bands or even old-style Disney Key to the World cards. However, as no ZIP code or PIN entry is required, any credit, debit or pre-loaded dollar payment card should work - including internationally issued cards - just as long as they have a magnetic stripe on the back.
Update on 4 April: Work is apparently now complete, all of the laundry rooms have been updated.
The new machines (including the existing ones over at French Quarter) are also internet connected. Yes, really! You can check on the current status of any of the washers and driers at Port Orleans via the website http://www.laundryview.com/disneyworld/ using either a computer or a mobile device, which allows you check for available machines and also to see when your own load is finished.

