If I apply through my hospital, the process would be really
speedy. Colleagues did that and provided all required documents are
submitted as requested, they received their PR in as little as 3-6
months flat. 
However, I'm not so sure that I want to remain in this private
hospital. I really would love to try public, but the team leaders
are starting to give me opportunities and I guess I've kinda gained
their trust so things are starting to change a bit for me. I'm
stuck between staying so that I can enjoy the training
opportunities, and leaving for a public hospital where the work
will be more challenging and of a wider scope, but where I'll have
to work hard to gain the trust of my team mates all over
again.
It's due to this uncertainty that I thought it would be best to
apply for PR myself. fymk did warn me that if I were to apply for
PR via the hospital, and then change employment before the
stipulated period of contract is due, my PR would then be revoked.
That's why she advised me to apply independantly so
that irregardless of whatever career moves I make, my PR will
always be with me.