I would suggest, for your situation, finding a cleaner that contains bleach and water it down pretty good, put it in your own clean bottles, and use that with clean white rags. Since you have children, maybe old cloth diapers. You'll want white so you can toss them in the load of whites, and with the bleach already in all those rags you'll use every week, you may not need to add more bleach to the load. That would be interesting to find out.
I personally dont use anti-bacterial cleaners. What I do is clean the kitchen with a (clean) sink with some hot soapy water, and a rag. Then I go over the glass cooktop with a clean hot damp rag to rinse it off. I then just use one spritz of watered down glass cleaner to remove the streaks from the stovetop, with a clean dry rag. Those glasstops look really messy if they're just cleaned with soap and water.
In the bathroom, same thing, only I start with the cleanest area (mirror) and a dry rag, and a corner dampened with water. That cleans the mirror, I find I dont need cleaner to do it, but then again, I dont have children, so there is rarely any spots on there. Then I clean the counter top and sink, and I do use cleaner in the sink itself, and of course, a strong disinfectant, but only a small amount, to clean the comode. I clean the outside of the bowl with the same rag I used on the mirror and sink and a spritz of the cleaner.
I have an old swiffer dry mop that I haven't bought cloths for in a long time, and I put a cloth in there that's hot and a little soapy and use that to mop. Then rinse the cloth, reinsert it, and swipe up the soap residue a time or two, then let it dry. In cold and flu season, I will top this off with a light spray over the surfaces with lysol disinfectant spray, but only during those times.
Hope this helps!
CHeryl