I would start by getting a shelf for folded/finished fabric (if you don't already have one). Then take a garbage bag of fabric to the laundrymat!! Plenty of machines to run multiple loads, and usually good size tables for folding. Take a friend to help!!
Bringing it OUT of the house accomplishes two things: you have a good clear working area in the laundry mat where you are not stepping over things, and you are not "looking at it" thinking about it the whole time and becoming discouraged by the size of the task. Concentrate on that one bag that you brought with you to the laundrymat.
Once it comes out of the dryer, fold it in whatever manner you decide as long as they are uniform sizes.
Then bring that stack of clean finished/folded fabric home and shelve it right away. Put like colors together but don't get too busy with sorting because you'll be re-sorting when you've completed the other bags.
One bag at a time from start to finish.
When you are not cleaning/folding fabric you can work on the other non-fabric stuff in 15-30 minute intervals.
Good luck!