Use half a lemon and sprinkle sea salt on your cutting board. Use the cut side of the lemon to scrub the sea salt into the board. Rinse and wipe clean.
Yes, you can clean a ceiling fan without the dusty mess. Working with one blade at a time, slide an old pillowcase over the blade, then slowly draw the fabric back. All the dust and dirt will stay in the pillowcase instead of flying everywhere.