is a specific kind of: house.

is a broader term that covers: Hanover, Hanoverian line, House of Hanover | Habsburg, Hapsburg | Hohenzollern | House of Lancaster, Lancaster, Lancastrian line | Plantagenet, Plantagenet line | Romanoff, Romanov | Saxe-Coburg-Gotha | Stuart | House of York, York.

has as a member: Highness | king, male monarch, Rex | prince | princess | female monarch, queen, queen regnant | queen.