Sounds like you have way too many fish too. I have a 20 gallon and I have 3 fish and that is pushing the bioload. I would definitely cycle first, otherwise, you're killing fish and wasting cash....who wants that? Your local fish dealers will buy back your fish. Get a frozen shrimp, drop it in there, eat the rest for dinner
Let the shrimp rot in there and cycle your tank. Then, after about 2 months, you should be ready. I wouldn't put in more than 3-4 fish tops, one at a time, allowing about a month in-between new fish. It's a hobby for the PATIENT. Did I mention PATIENCE? LOL.
You'll get great advice on here from people who know tons more than I ever will. I've had my tank for one year, and thanks to these guys, all fishies are alive and thriving. Best of luck!