Sweep finished hardwood floors with a dust mop, or use a vacuum cleaner on unfinished hardwood floors. When you have finished floors the dust mop works best because you already have a smooth surface to clean, while the suction power of the vacuum works better on rugged unfinished hardwood.
Mix 1 cup vinegar with 1 gallon warm water in a bucket. The vinegar disinfects your hardwood floor while using no expensive cleaners and no chemical-based disinfectants.
Dip your mop in the cleaning bucket, swish it around to absorb the cleaning solution, and squeeze out the mop thoroughly.
Wipe the damp mop over your hardwood floors, and remember to follow the wood grain while wiping.