Flying the corridors over the Grand Canyon is a must-do, but don't worry about position reports, those are being given by the commercial sight seeing companies a thousand feet or so below you. Get flight following from LA Center and keep your head out of the cockpit. I'd recommend you take a GPS if you fly the Grand Canyon corridors as they aren't very wide and they don't like it if you bust the airspace. The minimum altitude outside the corridors is 14,000ft so you can cross that off in a 180HP archer with three on board. You also have to be taking O2 if cruising at 15,500 (VFR altitude heading east), and really should be on O2 if at 14,500 (west) and you are a flatlander from the UK.
MOAs are no big deal, just keep looking outside and if you can get radar identified then talk to Center. You can enter a restricted area with the permission of the controlling authority, these will be shown on the chart, just ask them. US ATC are superb.