Well I have never cycled a new tank this way.. Typically I would take old filter media from my established tank such as your community tank and stick it in the filter of my new tank.. Or even just place it in the water in front of the water flowing out of the filter to get that crap all mixed into the water. It looks disgusting..but it works. Leave the new media in the filter as well to get that built up too. Just don't rush it.
having it up & running for a couple
Of weeks should work. Do you plan on doing a planted tank? Plants help to cycle a tank quicker as well.
People may have other opinions or advice.. But this has personally always worked for me! Good luck!