from the brief information u provided, ur father will be likely classified as "nursing home" grade. (i am an accredited assessor for the assessment for application for government elderly home too) in shamshuipo, there is only one nursing home (po leung kuk) and the vacancy is limited. the waiting is really long (5-7 years is right).
however, if ur father get improvement in self care, such as transfer and mobility, he might be eligible for C&A home, OR some day ur family can accept other district like Tseun Wan, Kwan Chung, Wong Tai Sin, then the waiting time would be greatly shorten.
The point is, the time u waited for Nursing home will be counted when changing from nursing to C&A. why not get a LTC Registration first while living at private aged home?