Have a residence permit (X1 visa) for 3 years issued in one city

So,I have a student X1 for 3 years (guess that's a residence permit) that has been issued in one city, and I want to rent an apartment in another city (Shanghai). I know that when you rent an apartment you need to go to the local police station and register with your address and bring your passport with you. Will it be a problem if they see that my resident permit is issued in a different city but I want to live in this city? Also, what other forma do I have to bring to the police station when registering my new apartment?

Thanks in advance,
Anthony