Hello Sue,
I don't think it will be right to move right away, if the Government realises you took quebec as a gateway to Canada, they will put an eye on you. So and you may lose your PR, it would be bertter if you stay there for a while especially after you get your PR card, when you move and they ask you , then you will give the excuse that jobs weren't coming your way and you had one in a different province,tht's why you left the province of Quebec.
This is just my own reasoning,Wait for someone to throw more light.
Good luck