That is a hard question to answer as we do not have enough information.
From the topic heading it states PC and SDP, if a relative moves in with somebody who is receiving AA and PC due to receiving a SDP, providing the person moving in also receives a qualifying benefit for SDP element then the person receiving AA and PC benefits should not be affected. If the person was a partner then that may be a different story and I would advise the person to seek advice from a Welfare Rights Organisation who can take all their circumstances into consideration.
Gary
Nothing on this board constitutes legal advice - always consult a professional about specific problems