with Residence permit can reside in another city?

I am the Chief Representative for my company's representative office and my whole family has one-year Residence Permits which are renewable each year when we renew the office's registration as well. There are no international schools in this city so I would like my wife and kids to live in another city in a nearby province, however. Can we legally do that as long as they register with the local PSB, or can Residence Permits only be used to live long-term in the city in which they were obtained?

Thanks, John