Just spray it on directly from the bottle and damp mop. The key word to this tip is nonammoniated. You hear a lot of horror stories about wood floors being ruined by water. Yet some wooden ships lasted for hundreds of years, and they were in the water all the time. The problem is not the water.
Damage is caused by wet mopping and allowing water to puddle.
My wife also suggests that you add some of those electrostatic sweeping pads such as Pledge Grab-It, Swiffer and O Cedar Static Sweeper to your cleaning arsenal. They're at all the grocery and hardware stores and are great for picking up the dust instead of moving and scratching it around.