Ive always just used old newspapers the local county paper sends us for free each week. Open them up, with a couple of water bottles, etc, behind it, so the one half "stands", and with a couple of paper towels laid in the work area is where everything lays, and youre good to go. The "back" stops/catches any spray from brushing ect flying around and the paper towels soak up anything at the parts, used patches level.
When youre done, roll it all up and throw it away.
Ive always just done my cleaning on the kitchen or dining room table. Been doing it a couple of two or three times a week, every week, for as long as I can remember, and never had an issue with the furniture being hurt or damaged.
Ive been given a couple of the padded/coated pads in the past and they never really held up very well to use on the workbench. If you want something that will, the old drafting table mats work great, and a lot better.