I'm wondering what kind of products I can use that are not dangerous to keep kitchen surfaces clean and safe.
Baking Soda and Lemon should be on the top of your list. There are different solutions to use based the situation. I have found the following site useful for a more natural and safe way to clean food and stuff around the house, http://eartheasy.com/live_nontoxic_solutions.htm
In addition to Baking Soda and Lemon, as @Colby mentioned, I'd add that Vinegar will clean most everything; it is non-toxic and cheap.
I've found it to be very effective for getting rid of molds and musty smells.
If you get Vinegar on your food, who cares, right? You could still eat it, unless you don't like the taste.
I'm in the cleanliness is over-hyped in our culture camp, so I probably have a different outlook than you. But, I wash surfaces mostly with just water and a cloth. If there's grease to cut or I want to damage microorganisms, I'll wipe down with vinegar. I don't even use baking soda for surfaces -- just for burned pans and such.
This mild sanitation protocol works well even in my kitchen which is deeply saturated with microorganisms due to years of various, constant fermentations.
You'd be surprised how much you can achieve with a piece of cotton, clean water and much patience.
While camping, we're cleaning all pots with water and a piece of grass or leaves. It requires more time than using detergents and hot water, but it is possible.
Fats don't dissolve in water, so you can use a bit of alcohol for them. Home-made, of course :)
If you want commercial products check out Good Guide, they rank products based on ingredient hazards and larger environmental impact. They have an extremely large database and rank things from cleaners to food to makeup.
