Hi there,
Congratulations on your PR under SINP! As a permanent resident, you have the right to live, work, and study anywhere in Canada. This means that you can live and work in Alberta, even though you were nominated by Saskatchewan. There is no minimum stay requirement in the nominating province, so you are free to move to another province without any problems.
However, there are a few things to keep in mind. First, if you move to Alberta, you will need to update your address with Immigration, Refugees and Citizenship Canada (IRCC). You can do this online or by mail. Second, you may need to get a new driver's license and health card if you move to Alberta. Finally, you may need to pay provincial taxes in Alberta, even if you are still working in Saskatchewan.
Overall, there are no major issues with moving to Alberta after being nominated by Saskatchewan. However, it is important to take care of the necessary paperwork and make sure that you are aware of your tax obligations.
I hope this helps! Let me know if you have any other questions.