Yes, I understand that.Just to mention if it hasn't been upthread already, there are a lot of fumes associated with cleaning solutions, carpet glue etc, and carpet and new furniture fire resistant chemicals, paint et al.
I chose my recommendations pretty carefully, with that in mind.
Pine Sol contains surfactants (soap), petroleum solvent, alcohol and pine oil.
Dr. Bronner's contains soap and pine oil.
I prefer Dr. Bronner's because it's more versatile. You can use it for many different things. Pine Sol is a mono-tasker.
But, when it comes down to it, Dr. Bronner's wins, in my book, because it's a more natural product and it does the jobs I need it to do.
The Kilz stain blocker is basically an oil based paint with a lot of extra titanium dioxide (pigment) mixed in.
As with any oil based paint, you should use it with adequate ventilation. However, the company that makes Kilz also produces a low-odor version. It's good but the original formula works better in difficult situations. If you are talking about an indoor area where there was only one or two smokers, the low-odor version will probably work. In my old house, we had to use the regular version because of the amount of smoke. You could literally scrape it off the walls with your fingernails!
We needed a heavy, stain-blocking primer to cover all that smoke residue!
New furniture, carpet and drapes are going to have some odor when they are new. There's nothing we can do about that. It's the demands of manufacturing. There are dyes and sizings that are needed to make carpets and upholstery. Without them we won't have the kinds of furniture, carpets and draperies that we want to have.
However, you could buy second-hand furniture if that is an issue for you. You can also get carpet remnants that would have less chance of odors.
Since you would be doing a clean-out, you're probably going to have windows and doors open for ventilation.
If you are going to be cleaning, you'll be kicking up a lot of dust. If you're cleaning, even with Dr. Bronner's, you're going to want to get some fresh air inside. If you're painting, you open the windows, too. That's just the way things are done.
With normal, everyday, care and common sense, you really shouldn't have any problems with odors in the house that will affect you or your cat.