Begin with a vacuum cleaner fitted with a soft brush attachment. Slowly clean the front and rear grilles, concentrating on corners, edges, and other areas where dust tends to accumulate. Keeping the vacuum close helps prevent loosened dust from spreading around the room.
For stubborn dust, use a soft paintbrush or cleaning brush while holding the vacuum nozzle nearby. Gently loosen the buildup and allow the vacuum to capture it immediately. This brush-and-vacuum method is much cleaner than simply brushing dust into the air.