I expect the weakest link for a small system like that is light. How much really bright light do you have in the corner of your kitchen? And are you willing to pay the electric bill to run artificial lighting for it and do you really want that much bright light in your kitchen?
For smaller plants, florescent lighting can work cause you can keep the light close to them but if you grow a variety of plants of different sizes, you need a light that is bright enough to work from more distance and penetrate thought to reach all the plants.
I've found that the mylar emergency blankets (cheap to buy in the camping department of any department store, don't pay for costly hydroponic mylar sheets) make a fairly good reflective curtain to put around an indoor growing area to reflect light back to the plants and to help soften the light escaping from the area so the rest of the room is still livable.
Just an FYI. I'm not sure about the safety of using the dehumidifier water in a food system. Since the coils and surfaces in a dehumidifier where the water condenses can't be cleaned/sterilized the water can pick up lots of bacteria and such and it is therefore not recommended to use. I think legonella (?sp?) might be one of the bigger worries from such condensate.
Only real use I've ever made of my dehumidifier water has been to flush toilets.