10 gallon fish tank fishless cycling

You should wait until both ammonia and nitrite are 0ppm. Nitrite is even more toxic to fish than ammonia.

I would just wait for a few more days even after the two readings are both 0ppm to make sure the biofiltration is sufficient enough. And then, do not forget to do a partial water change first. And acclimate your fish when you introduce them to their new home.