I was thinking you must mean sewing, not sawing, but then - isn't that a chain saw in the lower right corner? And a circular saw in a drawer?
I would advertise on craigslist and other local sites for the longarm and other big items. See if there's a guild in your area, and let them know what's for sale. They may be willing to help with the sale for a share in the profits. Yard sales for fabric and quilting tools are great if you make sure that quilters in the area know about them. Selling the whole thing at once is probably not realistic.
I'm sorry that you lost your mother. Her quilts are beautiful.