As I mentioned in the Spring Challenge post, almost all of my cleaning is done with vinegar and baking soda, with a few extra supplies thrown in for various circumstances. The amount of toxins, potentially harmful chemicals, and artificial scents that the average house uses to keep clean and smelling "fresh" is mind-blowing, and it's something that I get more and more concerned about every year. Especially now that Anna's here. I also get concerned about all of those cleaners getting dumped into our water and our landfills to leach into the soil. So for our house, I feel better knowing that our skin and lungs aren't constantly coming into contact with most of the commercial cleaners. Plus, it's a LOT less expensive!!
There are many resources online for "recipes" for green cleaning, if you care to try them out. For some of the more specialized cleaning, like wood furniture or leather furniture, please make sure to test an inconspicuous spot first. There are usually several different recipes for any given project and one might work better for your furniture.
If making your own isn't something you're interested in, there are some great commercial (but non-toxic) cleaners that you can generally find at Target and some grocery stores, or definitely online.
I use cleaning cloths (mostly cut up rags from Steve's old undershirts- hot, right? ha) that I can wash and reuse, and I have also recently invested in a Eureka Enviro Steamer. Our house is mostly hardwood floors and I can tell you that now that Anna's here, I didn't have time for the regular vinegar scrubbing! The steam mop is fantastic and it cleans with extremely hot steam - no chemicals. That was a huge plus for me, especially now that Anna is starting to want to be on the floor more. Plus Captain K appreciates it too, I'm sure!
Hope this helps!