I make a mixture of water, vinegar and a tiny bit of dish soap as an all purpose cleaner for the kitchen and bathroom and detailed cleaning of nick-nacks. It's safe enough for DD to use. We just use kitchen washcloths or old too-small socks.
For hard to clean things (like when I neglect the stove or toaster oven for a couple of weeks when I know there's something caked on...) I sprinkle on baking soda, then soak a paper towel in vinegar and lay over the baking soda for an hour or so; wipe and done!
My counters and cabinets are white (not a choice I would ever make) and a magic eraser can work wonders on them; I use about 4 a year, so it's not a huge investment.
Baking soda is used on the carpets, too. Sprinkle on, let it set a while, then vacuum up. I like to sprinkle it on at night and vacuum in the morning. It's not dangerous so I don't have to worry about my cats. It's one of the few things they won't eat anyway.
We use windex for the windows where the dog constantly looks out b/c her nose messes them up, but we try to use newspaper when we can since it's free.
We have hard water and I found a toilet bowl cleaner that is $1 from the dollar tree -- LOVE IT. Spray around the rim, wait 2 or 3 minutes, flush and, voila!, clean toilet. 1 bottle lasts us about 2 months. Sometimes I even use the stuff to clean off the drain rack in the kitchen. Just rinse it really well when I'm done cleaning it.
Otherwise, it's my vacuum, my feather duster, and some elbow grease. Oh, and a pillowcase for fan blades.