Although it's still summer in the U.S., there are plenty of places where you can go glacier-trekking, including Glacier National Park in Montana, Mount Hood in Oregon, and Denali Peak in Alaska. If you've got the money to spend, you can head down under where it's winter, and explore the South Island of New Zealand, or even Antarctica.
There's no doubt that glacier-trekking is one of the most exhilarating extreme sports, but it's also very dangerous, especially for beginners, and potentially deadly, even for experienced trekkers. If you plan to try it out, and come back home in one piece, you need to learn how to use crampons, carabiners, ice axes, and rope, how to find crevasses so you can avoid them, and how to get yourself or someone else out of a crevasse. If a class is available, take it before you go. It might just save your life.
Crevasses and ice falls are the greatest hazards when ice trekking, although stupidity and ego may rank first. If a park service or a sign warns you to avoid a particular area, then avoid it. Just because you've been up Denali Peak doesn't mean you can trek on crumbling ice that's just a thin layer over water. Never, ever, ever, go alone. I cannot stress this enough. Always use the buddy system. It's best to go with a minimum of two roped teams of two people, or two teams of three, depending on the terrain and the degree of difficulty. Make sure you have all the necessary gear, including boots with crampon compatibility, gaiters for dry legs, and goggles to prevent snow blindness. More important than these are the gear mentioned above, along with a snow probe and a satellite phone (most cell phones can't get reception on glaciers) and knowing how to use them.
Obvious space limitations prevent me from describing how to get out of a crevasse; the best way is to avoid them by using your snow probe, avoiding blue ice, and avoiding sagging trenches that may be snow bridges. Take a guide, stay safe, and have fun out there.
