Using the other filter to help your new one is an excellent idea. Once the new filter is dealing successfully with the tanks natural ammonia supply, any excess good bacteria will die off. It may not be able to immediately deal with the nitrite (not that it absolutely must, mind you, the fish can tolerate small quantities for short times). I'd take twice daily nitrite measurements after a water change to see how long it is taking, and after the filter is well established, the results would be more accurate for the long term.