You're probably going to want to go out and get a test kit for nitrates. When your nitrite levels go down to 0 and you see nitrates beginning to register, you know your filter bacteria is becoming established and you're ready for fish.
Be sure to test your tap water as well, so you know you're not seeing nitrate levels in your tank that were actually there all along (for example, water from our taps comes out at 5mg/L nitrate, so if I was testing a new tank to see if it had cycled, I'd hope to see levels above 5 so I knew that nitrate was being produced within the tank)
You'll always be able to use a nitrate test kit; watching the level of nitrates in your tank is a good way to know when you're due for a water change. I test the levels of nitrates and phosphates of my tanks weekly just to make sure everything's in order (though I admit I'm pretty darn perfectionistic about my tanks' levels, by no means do you have to test this much!).
You can also do partial water changes during the cycling process to lower your nitrite levels, it will help your fish feel more comfortable, and as long as you leave the filter media alone and dechlorinate the replacement water, it won't hurt the cycling process at all.