Summarize the following:
If you have a lot of dust, consider putting on a dust mask. Also, goggles will keep anything from getting into your eyes, including fine dust. While you're cleaning, place a box fan in a window facing outward. Turn it on, so that when you stir up dust, you blow it outside instead of keeping it in the room. To take on construction dust, a shop vac with a fine dust bag is the best option. It keeps dust from being blown back into the room from the bag, which can happen with a home vacuum. You can rent or buy a shop vac at local home improvement stores. Suck up as much dust as you can in the first go-round with a shop-vac. You'll need to vacuum more later, but you want to remove the majority of the dust from the floor so you're not spreading it around. For new paint, a simple dusting with an extended duster will do. For old paint, you may need to wipe the walls down with a wet rag or an extended mop. Basically, you want to get as much of the dust off the walls as you can.  For textured wallpaper, you'll need to use a vacuum attachment to vacuum the dust off. Be sure to get the ceiling and baseboards, too. Wipe down ceiling fan blades, and thoroughly clean light fixtures. You may need to take down the light fixtures to clean them thoroughly. Use a glass cleaner for any glass-based parts to get them sparkling. If the air vents weren't covered for construction, you'll need to clean them now. Take the vents off by unscrewing them, and then wipe down both sides with a damp rag. If they're particularly dirty, you may need to clean them with warm, soapy water. Any furniture that stayed in the house needs to be vacuumed, even if it was covered. With the upholstery attachment on your vacuum cleaner, go over your furniture to remove dust. Dust is likely on any shelves, countertops, and knickknacks that were exposed. Wipe them all down with a damp rag to remove dust. If they're especially dirty, use a gentle cleaner. Whether you have carpet or hard floors, you'll need to vacuum multiple times. It's going to take several passes to get up all the dust, especially on carpet. Once you've gotten up as much dust as you can, mop the floor to get up the rest of the dust. You may need to mop more than once to make sure you get it all. Once you're done stirring up dust, it's a good idea to change your air filter. That way, you can start fresh, and your filter won't be clogged with all that construction dust.

Summary:
Put on safety gear. Set up a fan to blow outside. Rent a shop vac. Vacuum the room once. Wipe down the walls. Clean the lighting fixtures and fans. Wipe down the air vents. Use the vacuum on the upholstery. Wipe down any other exposed surfaces. Vacuum multiple times. Mop hard floors. Change your air filter.