Hmm, well you don't want to get banned off of PlayStation Network itself (console ID ban) or you don't want to get banned off of games. Because if you're constantly getting banned off of the PlayStation Network, make sure to clear your homebrew app history maybe once a day. You can use either multiMan to clear it (simply run multiMan and it will clear it automatically) or download PSNINJA.
PSNINJA Download Link:
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multiMan Download Link:
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If you're getting banned off of games like GTA V and Ghosts, look around in the forums and find tools/methods to bypass the cheat protection.