Hi and welcome to TFF, ebo100!
Since you are having elevated nitrites and never went through all the stuff that surrounds a fishless cycle, I suggest you "take a step back" so to speak and do a few things we do with newcomers that have worked quite well - this is not ignore that you have experience and that the tank has run 3 months, its just that you may have somehow missed some of the skills that go along with understanding the nitrogen cycle and how to keep up with it.
First off I think we should be worried about your use of test strips. Unfortunately these things usually turn out to not be worth the paper they are printed on. To be confident of the important readings in your tank you really need a liquid-reagent-based test kit. Many here, including myself, use the API Freshwater Master Test Kit. Another good one is the Hagan/Nutrafin Mini-Master Test Kit, the one that has a nitrate test in it. Once you get a hold of one of these, test your source/tap water a couple times (to get used to the instructions) and then post up those results here on your help thread. Then test the tank water and post up likewise. The most important readings we'll want to know are ammonia, nitrite and pH - so you can leave the nitrate until later as its somewhat harder to do usually.
Other things that may help the members analyze your problem will be tank size, fish stocking (w/numbers), filter type, media types in filter and flow rate of the filter, if you know it. Do you suspect that your filter may not be keeping up with your number of fish? Are you using any medications or chemicals in the tank? Do you have anything other than sponges and rings/pebbles in the filter?
~~waterdrop~~