These are the products that I have used during my hydroponic adventures. Please be aware that most of these are affiliate links and I really appreciate your support of this website.
Aerogarden Ultra, Harvest, and Sprout
When starting out, I would highly suggest the aerogarden systems. They are pretty much an all-in-one system that takes most of the guesswork out of the process. I found it useful to start with the aerogarden and then branch out to other systems once I figured out the various elements of the aerogarden. I personally own the Ultra, the older version of the Harvest, and the older Sprout. The Sprout is adorable, but has pretty limited functionality, so while it works, it is as bit too bare bones for my preferences. For example, you can set up different settings for it, but because there is only one button, it is hard to remember how to set everything the way I want it. The Harvest is a good middle-level product which offers easier to use functionality due to its led screen, but still at a reasonable price. The Ultra is on the more expensive end. It is larger than the previous two options, however, and because the light on it can be extended twice as high, it can accommodate more plants. At this point, I mainly use the Harvests and Sprouts for starting plants and transfer them elsewhere after they are established.
Literally Homegrown 