This is what I did for dust:

First sweep with a good broom to remove the larger particles. Do the whole house twice and in a systematic manner. The process should be in such a way that you do not track back to the same room again just to get to an un-swept area; i.e it should be in one direction. Next, use a powerful vacuum cleaner to go over the same surfaces to suck up all the smaller particles. Then go over the same surface again with a Japanese wiper sheet which is very effective in picking up the smallest particles. Change the wiper sheet when it gets dirty. Use both sides. When you see that the wiper sheet no longer changes colour easily, it is time to go to the next step. Lastly mop the same surface with a mop that has floor cleaning solution. Make sure that as you mop along, you change the moping solution when the water color changes. When the water is relatively clear, your surfaces is considered really clean. I keep my house in pristine condition using this technique twice a month.