I have cats and feel the same way you do. I don't want them walking, licking or near chemicals that can harm them. I use white vinegar and water to clean my hardwood floors. I normally splash it in the water bucket but I guess its about half a cup to the bucket of water.
I am actually thinking of purchasing one of those steam floor cleaners in the near future. You might want to consider that. But if you have a pet that 'spritzes' in a corner the vinegar will remove the 'scent' and they won't return to the spot.
Plus, if you want more cleaning power you can add more vinegar to the water w/o hurting your floor or pet. It is nontoxic....natural...inexpensive way to clean everything in your home.
A cup of distilled white vinegar in a gallon of water should do the trick. Test in an inconspicuous spot first.
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