How to avoid using pesticides...period.
1. Do a little research on vermiculture(raising earthworms, redworms are the best type of worm). Earthworm waste, or what is generally called worm castings will act as both an extremely effective natural fertilizer and it will not burn your plants. It also provides a safe amount of nitrogen, which all plants require.
2. Worms eat the bacteria found on the food you will be feeding them. Food meaning just about any organic waste, though avoid dairy and meat products. So in addition to getting the castings, you will also be saving your environment.
3. Use some kind of container, fill it with water(rainwater works the best) and add a little bit of molasses or just about any kind of sugar to the water. Get your basic aquariam pump and ariate the water for at leas a few days. You now have what people call worm tea. Get a spray bottle, add more water to dilute a bit(it should look like really weak tea) and spray this water generously on all your plants leaves AND the top of the soil itself. Fear not, there is no danger of burning out your plant.
This worm tea will not only naturally fertalize your plants, but it will also act as a natural pesticide. It is a known fact that it has a tendency to kill/drive off aphids if used consistancly.
Worms are amazingly easy to raise and can even be a small side business. Do a search on the web on how to create a worm bin and get started. In addition to eating all your kitchen waste, they can be used for fishing and the little buggers are asexual so ALL of them can give birth. I honestly believe if everyone used vermiculture, the world would be a much better place.
Try as hard as you can NOT to use pesticides. THe plants absorb the POISON and you ingest it!
Growing organically doesn't require you to be a rocket scientist. A few ways to grow organically.
1. Crop rotation. Do not plant the same crop in the same spot over and over again. If you spread them out and plant in different locations, this will drive off many pests. This also works if you combine it with companion planting. Some plants will drive off certain kinds of pests, which benefits nearby plants that the pests my like. One great example of this....tomatoes and basil. Here is a link of great companion plants.
List of companion plants - Wikipedia, the free encyclopedia
2. Got poor soil? Best solution for poor soil is to make your own! Build a basic raised bed, make a mix of Vermiculite, peat moss and compost(or worm castings), This will give you perfect soil evertime. Stagger your harvest and use the worm tea. It also provides perfect drainage, so you will never flood your poor plants. With this formula using a raised bed, you will NEVER have to worry about overwatering and drowning them. Just make sure you drill some drainage holes at the bottom of your bed.
Using that system, you can easily have perfect, healthy fruit and vegtables with a much higher yield and you won' be ingesting those nasty chemicals.
I hope this helps! Feel free to ask questions.
PS...want healthy meat you can raise at home?
RAISE AND EAT RABBITS! YES, EAT THUMPER!