Week long flying trip in SW US and renter's insurance.
All that Adam said plus.... I presume you've applied to the FAA and had the CAA confirmation of your licence sent to them already? This can take up to 12 weeks (mine took about 6) BEFORE they invite you to the nearest FAA centre where they give you a temporary paper licence and post your Wright Brothers card to you at home.
Flying in the US is fantastic, easy airspace, great ATC and free landing almost everywhere. If you uplift fuel you can normally get a crew car for a few hours as well.
For Grand Canyon but and study the vfr chart. You have to transit through special corridors at 11500 northbound and 10500 southbound. Not sure if you're going pressurised or carrying oxygen but in a 172 I felt light headed and decided to descend. Still probably one of the best flights I ever did. Fuel at Grand Canyon is very expensive so try and avoid filling up there.
Enjoy.