The actual species of nitrite removing bacteria is Nitrospira.
This was figured out about 15 years ago when Dr. Timothy Hovanec worked for Marineland.
Prior to that many companies sold what they thought were the right species of bacteria (I have used some of these, and they did not work well.) Nitrosomonas, Nitrobacter are the old ones. They die off in the aquarium. The easiest way to tell: The bottle tells you to keep adding them week after week, through the life of the aquarium.
There are many other microorganisms in an aquarium, and if the other products you are using are part of a seeding program to establish the population of many of these others, go for it.
But do not expect them to be the right nitrifying species.
The correct species that remove ammonia and nitrite can be found in
Dr. Tim's One and Only
Tetra Safe Start
and probably some others. Read the label. If it includes Nitrospira, then it highly likely also includes the correct ammonia removing bacteria.
The specific brand I have used in the past was Tetra Safe Start. This was an emergency case where the original tank leaked and fish had to be doubled up in too-small a tank. Could not move over all the places where bacteria had lodged, so had to add more bacteria. Worked great.
When I am not rushed I do the fishless cycle that I have posted so often. Gives the plants and all the other microorganisms several weeks or longer to get established in the tank. I share media among the tanks to jump start the populations.
I have also started new tanks by sharing media from several established tanks to start 1 new tank. This way the established tanks are not losing too much bacteria, but the new tank gets a generous supply that can be grown quickly into a big population capable of handling a full fish load.
Order to add livestock:
2) Shy, small critters that might get eaten. Let them get to know the tank and find hiding places. Shrimp, smallest fish.
3) Somewhat more pushy fish, perhaps schooling, but that might want to eat the shrimp.
4) Territorial fish. When the other fish are established (even by just a few days) the territorial fish will not (generally) claim the whole tank. They are moving in on someone else's space, so will be a bit less aggressive at first.