So yea I'd do dwc first and get these things... PH meter, ppm meter, flora nova bloom, PH down/up, hydroton, few net pots, air pump and stone sized appropriately, aquarium thermometer stick on strip to tell your buckets temp at a glance.
The trays are for you my freind cheap to build and run(check signature!), check em out and PM me if you have any questions..
Oh for nutes. this is easy to cheapest most effective is lucas you buy GH micro and GH bloom. thats it 2 base nutes. Or as mentioned floronova bloom.
Mix it 8ml micro 16ml bloom per gallon, your golden.You will also need a bloom enhancer to use in flower like GH kool bloom.(gh = General Hydroponics) I also Highly
recommend ppm and ph meters, however they are a small investment.. I know what your saying with limited funds. Using lucas, if you flush and fill every 3-4 days. no problem. The trays are super stable I dont run to waste at all. I recirculate and adjust based on ppm/ph meter readings
It is more expensive intially to go into, but you will yeild more, so in the end you come out ahead!