Keep the dust mop clean above all else.  After a day's cleaning, empty the dust mop into a bag, or better yet, vacuum the dirt out.  Remember that the dust mop is not a substitute for a broom - it is not good for cleaning up candy wrappers and should never be used to clean up soda spills or other liquid spills.  Get an appropriate tool to clean the spill or messy litter.  As with brooms, a variety of sizes are best to insure that any cleaning need can be handled efficiently.

Follow the manufacturer's specifications for dust mop treatment.  In general, use a fresh application of dust mop treatment every day, and let it set out overnight so the treatment will be absorbed by the mop instead of leaving a residue on the floor.  the amount of treatment is crucial - too little will leave dust streaks and too much will make the floor sticky or slippery.

Dust mops pick up dirt instead of moving it around like a broom.  Periodically clean the dust mop while cleaning (dump the dirt into a proper waste receptacle).  Only pick up the dust mop head when necessary.

Use swivel heads for hard to reach areas cluttered with furniture.  When using the big dust mops for hallways, carry a smaller one for side rooms.