In the end, we decided against visiting the Tower of London, which in the end was for the best. We didn't have much time to get organised, and since today was also the State Opening of Parliament, the Crown Jewels were 'in use' anyway!
The shuttle was booked to pick us up between 11:35 and 11:45, so we got down to the foyer with our luggage by 11:15. Of course, he promptly turned up about 11:20! He blatted through London at hair-raising speed, and got us to Terminal 2. But our ticket said we were supposed to be dropped at Terminal 3. A quick dash around to Terminal 3, and we got ourselves all unloaded and the bags onto trolleys. Naturally, as soon as he'd gone is when we saw the sign saying Air New Zealand now operated from Terminal 1!
Nothing for it but to walk. Fortunately, the terminals are well signposted, and there are lifts and travelators through the subway system, so we got to Terminal 1 without too much trouble. Had to walk almost the whole length of the terminal to get to Zone R where Air New Zealand check-in is. The queue was quite long, and it was another 20 minutes before we got to the front. No problems checking in, although our luggage was only about 3kgs under the weight limit! Have to be careful in LA with souvenirs.
We've cleared security, and are now sitting in departures. We're about 20 minutes away from finding out which gate we'll be boarding at, and it'll be 90 minutes later that the flight is scheduled to depart.