Welcome to the forum and the hobby! You just made a mistake I believe everyone in this hobby makes at one time or another. We buy a tank and then think about what we can do with it. We need to think of our tanks as life support systems for the plants and animals that we plan on keeping, and designing their home around their parameters. My advice to you is to figure out what it is that you're tying to accomplish, and designing a system to meet those goals. Also, always have a backup plan ready to go at a moments notice.
The quarantine tank is a great idea, this is part of always having a backup plan. I just wouldn't make it a smaller version of your display tank for several reasons. There is enough to keep you busy with this hobby, there is no need to add more work by doing maintenance on a QT tank. I would also keep the QT tank bare bottom so parasites and other nasties have nowhere to hide. Basically, I would keep it as a glass box with a filter, a heater, and cycled water.
On another note, neons require a tank of 10 gallons or more.
Best of luck!
Last edited by loach guy; 10-06-2015 at 02:23 PM.
Reason: Klibs reminded me that tanks need heaters :)