Caller ID on phone

I'm looking for suggestions.  My caller ID is working correctly on my living room TV.  I have a landline in my bedroom that I'd like to get caller ID on when I'm not watching TV or I'm not in the living room.  Will any phone with caller ID or added caller ID device provide the same message information that I see on the TV?  Any suggestions for a phone or add on device or could I somehow get a notification on my mobile phone?