When you move your loved into your home, you might want to consider making his or her bedroom look and feel very similar to their current bedroom.
Also, does your loved one have some objects he or she really loves and would be comforted by in your home? In that way, when your loved one asks to go home, you can lead him or her into their bedroom and try talking with him or her about what they love most about their home or get him or her telling stories about their home. Being surrounded by familiar things may help to lower his or her anxiety and agitation.
You can gently tell your loved that they are now living with you, but remember he or she won’t be able to retain that fact. Then try to redirect her into an activity that she enjoys; something that will distract her from this thought.