Bubblers or Deep Water Culture systems are probably the cheapeast and easiest to set up.
The main difference in systems is really just the way they feed the plants, bubblers provide oxygen to the roots of a plant through an airstone submerged in say a bucket or tub. While ebb and flow system floods the plants and drains them periodically.
There's also aeroponics, NFT.. all which can be equally effective, its just preference I would say really.
Im on my first grow and I went with DWC and everything is goin pretty damn good