replacements for my dobie scrubber

Non-abrasive scouring pads made of coconut or agave fiber are becoming more common. They look like Scotch-Brite pads, but are brown/beige instead of green/yellow. (Note that plastic lookalikes exist, so it's worth checking the label.)

microfiber dusting cloths

I find that a slightly damp cotton washcloth picks up dust pretty well. If you have lots of dust, it's easy enough to rinse, wring, and repeat.

Great catch on those scrubbers - I hadn’t even thought about everything I use to clean, aside from plastic-free dishwasher pods. Thanks! And ono’s suggestions are awesome!

Dusting cloths: tear old cotton flannel sheets into squares. You can do this to sheets in your own rag-bag, or buy sheets at the charity shop. Old towels work well, too. They can be washed and re-used for quite a while. Old cotton knits work fine, if you don’t mind waving your dingy old tightie-whities and sweat stained tees around.

Anything soft and slightly fuzzy, and if the cloth alone doesn’t do the trick all you have to do is get it damp with plain water.

Take up knitting and knit yourself some washcloths and dusting cloths! Pretty common here in Scandinavia (you can actually just get cotton machine knit ones in the supermarket but I'm not sure those are a thing elsewhere) and they're pretty much baby's first knitting project because it's just, a square