I’ll go first. After your turn the water off in the shower but before you get out, use your hands to wipe off any standing water on your body. Maybe even give your legs a bit of a shake. This way, you won’t drip nearly as much when you get out, keeping the floor and your towel drier.
I would modify that to say use microfiber for things you really need microfiber for (e.g. cleaning glass or waxing cars, where you really need it to be lint-free and non-scratching) and get bulk packs of cotton bar towels from a restaurant supply store or Costco business center for everything else. This minimizes the release of microplastics.
Surgical cloths. They have to be disposed of if they were even in the operating room. They still sanitize them though. You can probably find them for free, but if you pay any money it will be incredibly cheap. They are very low-lint and have a coarse texture that makes them perfect for cleaning.