Spare couple of hours in Westminster, early morning...what would you do?

[Greensleeves]

We'll be arriving at Victoria at 6.30am (cheap coach tickets!) and have tickets to see Westminster Abbey at 9.30am - if you had a spare few hours in that bit of London, what would you do with it? I'm a history and politics obsessive, so will be quite happy just pootling about looking at stuff, but if anyone has any other ideas I'd be grateful

@Ginmonkeyagain - Pickering Place isn't a churchyard its a tiny private square of georgian houses built on the site of the Earl of St Alban's garden where all the Regency gaming hells seem to have been located but is incredibly atmospheric and usually overlooked as the entrance is hard to find.