It's quite simple , for one setup you need
1 x 5gal bucket
1 x net pot (
http://www.ebay.com/itm/10-INCH-MESH-NET-POT-CUP-LID-5-GALLON-BUCKET-HYDROPONIC-AEROPONIC-/170881434747)
1 small aquarium air pump (I got mine for 20$ at the pet shop and it can aerate 2 or 3 buckets simultaneously
1 x air stone
some hydroton
hydroponic fertz
a couple feet of air tubbing
I dont recirculate anything, I just put some fertilizer in the bucket and I change the solution every 2 weeks or so. Air stone at bottom of the bucket bubbling. Start the air pump and wait ! Refill the bucket with water every 2-3 days depending on the weather. I hid the air pump under my bbq so it doesnt get under the rain.