For the ultimate mountaineering experience here in the US, it's hard to beat the High Sierra. Rugged peaks, good weather, and few crowds make this an area I head to every summer. One thing you will need is a bear canister. The BV 350 is very highly rated and on sale.
Here's why it better than other bear canisters:
*Holds more food
*Opens without tools (coins)
*See through to locate items quickly
* Built in guides keep straps in place so you can attach it to the outside of your backpack
And right now it is on sale at Backcountry.com with free shipping! Even if you are not hiking in bear country, a bear canister keeps all critters from eating your food, plus you can sit on it.