How To - Rubbermaid Tub Growbox
n00b grower here.
I was wandering through HD last weekend, and came up w/the same basic idea, using a 22gal tub, but didn't think about doubling them. Instead, mine is half the height of the OP's, and seems to be working quite well for sprouting/vegging.
For the lining, I used spray glue (about $5 for a 12oz can) and used generic aluminum foil w/the "shiny" side pointed inwards. You'll want to let the glue cure for a couple days after applying the foil, in order to allow the solvent fumes to bleed out. The spray glue makes foil application quite easy, and very forgiving if you misjudge your sheet size. It's also a lot cheaper than buying rolls of aluminum tape.
For my lights, I picked up a 24" dual-tube T5 setup, used a spare computer power cord w/the end cut off, and wire nuts. A 4" 90-degree elbow tube affixed to the lid that came w/the tub is used to route the power cable through, as well as provide passive ventilation. I also picked up a self-sticking thermometer (plastic, thermo-activated color style) and stuck it to the lid as well (8" away from the lights). Running 24/7 I'm finding my temps hold steady at 76F, and the half-dozen new Top44 sprouts seem to be loving it!
I may have to re-think adding another tub on top of this one in the future, but my intent was to use as a first-stage grow-box, moving the plants to my grow-tent when they start getting too big for it.
How To - Rubbermaid Tub Growbox
I used 2 rubbermaids on top of each other it works for starting and clones but for a full grow area not working. Check out my thread called 1st cfl grow its details all I had to go through.