I didn't want to discourage you, the fluorescent lights aren't so expensive, you could probably find three bulbs with the right spectrum to fit into your current setup and then add the foil, the other thing people use is a heating pad to warm the bottom of the tray depending on what the temperature is, you also don't want it too hot.
One thing I would suggest that you maybe look into since you already garden would be cold frames, and if you already
compost you can possibly work that into your system too, it's a bit early to get them started but certainly another option for getting an early start on the season.
Definitely keep trying new stuff, there all all kinds of strategies, maybe try a few and see which ones suit your style the best.
At least if the transplanting did shock those seedlings too much you are well ahead of the game this season and you have many options so long as you can get more seeds
Good luck and I hope I was helpful.
Daniel