You are moving in the right direction, and that's good. But like mcgyvr said, don't rush it.
Two other points. 1) Once it's cycled it's important to add new livestock slowly as they will add new ammonia (poop) to the water supply and more bacteria will develop to remove it, but it doesn't happen overnight. 2) Just because the tank is cycled doesn't mean all is well. For the next 1 to 3 months you'll likely get some blooms of various algae and maybe even unwanted bacteria. It takes 3 to 6 months for a new tank to become stable and start to mature. Most tanks become truly mature in 6 to 12 months.