I would not QT fish with corals for several reasons. First, if a fish comes down with anything in your QT, you're out of luck...it'll need treatment in a fish-only tank. Second, I personally prefer to run a coral QT without fish to minimize pollution...and fish picking on new corals (same goes for hermit crabs...they love to pick at new corals too much.) Third, fish usually need a larger aquarium...one that you'll quickly fill with corals. Those corals will then get much less attention. You won't notice the bubble algae, AEFW, red bugs, etc as easily as you would've with a smaller coral-dominate QT.
My fish QT is a 20g tank with a heater, Koralia, ammonia badge, thermometer, and fish dividers if needed. Really simple...no need for anything more than normal flourescents for lighting.
My coral QT is a 10g tank with a 10g sump. Has a Koralia, heater, thermometer, Tunze skimmer, GFO/carbon reactor, return pump, and a 150W MH. Bought all that for about $250.
Medications are the most important...last thing you want is to realize something is dying at midnight...and have no access to meds. I have Coral Rx, Lugol's, Flatworm Exit, Potassium Permanganate, Copper, Formalin, Interceptor, Methylene Blue, PraziPro, Erythromycin, Furan 2, Fluke Tabs, you name it. After almost 5 years in the hobby, I've used everything except Interceptor in an emergency. Having a store on hand will quickly pay for itself. Worst case, go in together as a few friends or as a club to set up an "emergency aid" kit.
I cut corals off all plugs, dip for pests (and treat if necessary), superglue cover any dead tissue/rock, place on a new plug, then place in QT for ~6 weeks. I repeat the process for a secondary QT...and then eventually the coral goes in the main tank.