canadian applying for chinese viaa in s.korea???

Hi
I am currently just staying in korea for 1.5 months visiting friends. I would like to go to china for a couple of weeks but I heard its very complicated?? I do not have a arc since I do not need it, and I can stay up to 6 months in korea enjoy the exemption policy as a canadian. and also I have had a chinese visa within the last 2 years in my old passport however it was destroyed when I applied for a new passport..Is there no way to apply for another then? Can someone plz tell me what I should do? ...