Vinegar is an excellent cleaner for vinyl flooring and won’t ruin the material. Mopping the floor with a cup of vinegar diluted in a gallon of warm water can make it sparkle.

Yes, but with caution. A floor grinder is intended to level and polish concrete, so it is a very powerful tool. To remove paint, the floor grinder should be set to 35 square feet per minute or less to minimize the pressure without the use of pocket weights. You might need to go over the surface two times to get any paint that has sunk into the concrete’s pores.

Yes, you can polish an old cement floor. However, be aware that the first pass with the concrete grinder may reveal a few surprises and imperfections. You may also have to contend with the consequences of previous floor coverings, such as tile or carpet, which can leave a pattern in the concrete. Old concrete is more likely to produce uneven results if you want to use a dye or other coloring.

Before starting on a full refinishing project, determine if your floors need to be completely sanded down to the bare wood or if the damage is shallow and mostly cosmetic. Deep scratches and gouges will require you to rough sand using a drum sander or belt sander, but small surface scratches or floors that have only lost their luster don’t need a complete overhaul. Instead, you can skip the rough sanding step and sand-screen the old finish with a buffer, removing only the top layer of polyurethane.