Vinegar is actually a good disinfectant. Also, you can use 9 parts water to 1 part bleach for disinfecting. I use Simple Green when I clean, but make sure I don't spray it where the cats are under foot so they dont get the spray. Simple Green is non toxic and biodegradable, so it should be safe enough, but it is concentrated and I like to use it that way, so I am just careful. For the floors I just use my swiffer mop and close the cats off till the floor is dry. For my carpets I just use a regular carpet cleaner. It's not like they eat the carpet or that that much of the wetness can affect them. For clothes I use Tide and always have, and will continue to.
Now, one of my breeders of 30 years uses something called A-33 in the powder form that mixes with water. She says she uses this on everything - to clean and to disinfect. I did buy this at her direction, but I did not like all the DO NOT's on the label. It was scary. It is like a hospital disinfectant and you can't use it on porous materials, yadda yadda, and must wait till its completely dry. Don't let kids touch wet areas, etc. Just too many warnings. My husband is a CNA, and he says the vinegar and the bleach is best with the kitties, one of the two. I also find that just a bit strong as well, as to the bleach, so I am just going to add about 10 to 1 instead.
Hope that helps. I remember when I had the same questions.