The King's Court
The Court means two things. First, it is the actual place where the king dwelt - his palace. Secondly, it is the people who dwelt with him and attended on him - the courtiers. Courtiers were a large and varied bunch. Some were occasional visitors - dukes dropping in for cake and ale; others lived there almost permanently. The king's Household was part of the Court - or was the Court part of the Household?!
David Starkey made his name studying the Court and the physical lay-out of Henry's palace, and argued that Henry did something different to his predecessors: he made much more use of the privy chamber. Big deal, you might say. But it was - instead of having an accessible, splendid king, here we have a king who is interested in the minutiae of government; a king to whom access can be controlled.
Great Council
Council Learned in the Law