I have read about a lot of methods, and also tested some different hydroponic systems. I will add the systems I try, on this page.
Here is a list of some of the systems I have found interesting.
A very cool hydroponic system that pumps the water/nutrient solution to the roots. I did not use an air stone in my setup, because the water splashed enough when it fell down back in the reservoir.
This is my hydroponic NFT system from last year. Using an aquarium pump to pump the water through the pipe.
It gives great results, but with the NFT system you really need to keep your eyes on the different parameters.
It went well until my pump broke and I did not notice it in time. All the plants died ;( So if your planning this setup, I would recommend two pumps or always keep an eye on the flow.
Hydroponic water culture:An air stone provides bubbles and adding oxygen to the nutrient solution.
Works great as a hydroponic window sill system despite the noise from the bubbles.
I used some plastic as a membrane inside the wood container.
Self watering tray.
This system is very simple. It use a piece of fabric as a wick to suck up the water. I used this method inside a closet with grow light.
I am slowly starting to use more soil because it is more forgiving. Especially when trying to grow organic.