Notice, by putting in your EOI you would be applying for
Residence. (PR is a different visa you can qualify for after a minimum of two years as a resident.)
You would have to get a new work visa because of the new location, but that wouldn't be a problem normally. (Just make sure that you liaise with INZ so there is no time when you are not covered by a visa.) As for as your application under SMC is concerned, if you have a a job that is equally skilled in the same skilled career that you have proved with your qualifications and work experience, changing while the processing is going on is no hindrance.