If you've gotten to this point, you may already know this but I would add it to be sure?
As mentioned above, it is a two part process and I might guess that you are fully done and ready but you should have seen a bunch of ammonia converted to nitrite, making a spike. Then as the second group of bacteria grew, that nitrite spike should have come down to zero and that should leave you with a tub full of nitrate. The tub full of nitrate is why you should need a big water change to get the nitrate down to workable.
A month should be about right to be ready but it pays to check the nitrite. In theory, it could be possible to have the group converting the ammonia to nitrite but not have the nitrite to nitrate group doing their job. so do a check of all three readings.
I'm guessing you are ready but don't bet your fish on my guess?