If you're lucky enough to have a lambswool duster and low enough ceilings we've found that can be the best solution as the wool has real staying power. They aren't always inexpensive to purchase however and often have short handles. Instead, I use a microfiber cloth and my broom.
By securing it over the bristles (you can use a rubberband, but mine always just stays put) you knock down the dust and spider webs that might exist and they then stick to the cloth. You can of course use a broom without the cloth, but it usually means you'll end up dusting every surface in your room and even the floor afterward. It's a simple trick that can allow you to tidy up with minimal headache.
Image: Sarah Rae Trover