Hi shaurya,
PR Card processing will start once your landing formalities are completed Vancouver Airport, they will ask for an address where they can mail your PR Cards. It will take a around 2-3 months (i got my PR cards after around 10 weeks).
You can visit any Services Canada office [http://www.servicecanada.gc.ca/cgi-bin/sc-srch.cgi?app=lst&pv=bc&ln=eng] to apply for a SIN Card, you will get the SIN Number same day on a official printout and SIN Card will be mailed to you in 1-2 weeks.
Let me know if you need any help in Vancouver. I landed in Vancouver November 2012. Here is link to my landing experience and observations.
http://www.canadavisa.com/canada-immigration-discussion-board/landing-experience-and-observations-vancouver-bc-t133331.0.html;msg2050484#msg2050484
Regards,
PankajK