Working Parents and children

Hello. I would be grateful if you can help. I found a job in China. I have a daughter. We need to go together. What are the variants for us? 1. If we do z and s1, can we both get residence permit at the same time? 2. If not she will need more time in china than 1 month ( which is allowed by s1 ). Then can we get a tourist visa for her and then change it to s1 in china without going back to the motherland?