Dusting needn't be a large task that takes up a lot of your time. It also does not need to involve a large number of chemicals. These are my favourite natural dusting products.
When I dust the surfaces in my home, I use a feather duster first, then a damp Linen Cloth and a few spritzes of Scented Vinegar (which is my go-to secret tool for almost everything).
Using a proper feather duster is preferable to an artificial one. The tiny strands on the feathers do a wonderful job of catching and keeping the dust, which minimises the amount that ends up flying around the room. How often have you finished the dusting only to catch a ray of light highlighting a cloud of what was once on your bookshelf?
If you need to tackle a large build-up of thick dust, the vacuum cleaner is essential. If it has a brush nozzle, now is the time to use it. Resist the temptation to tackle the whole job with a cloth. Once you have vacuumed the area, use the cloth to finish the job.
Remember that dusting inevitably leads to dust particles flying around in the air. Having a window open can help to usher them outside. I like to have a quick run around with the vacuum cleaner afterwards as well.