Some ionizers feature a HEPA filter which sucks in and captures some of the particles, but for the most part, the majority of them fall to the floor where they are vacuumed up.
After removing the filter from the air conditioner, the collected dirt and dust can be vacuumed off or the filter can be washed with lukewarm water and mild dish detergent.
Dryers and dryer vents need to be cleaned regularly, and refrigerators should be vacuumed in the condenser area at the bottom or rear of the refrigerator.
The interior can be vacuumed to remove debris, and any interior stains can be moved in the above manner.
After you've vacuumed up as much dirt as you can from the carpet and upholstery, gently brush the carpet with a stiff brush.