Sure, I can do that. That sounds like it will be a great trip. For gaiters, I think you are going to want two pairs. For most of your hiking and scrambling, a basic gaiter such as 聮s Ascent Stretch gaiters ($50) will be the ticket. Light, comfortable, breathable聴they聮ll keep snow, rocks, and various debris types out of your boots.
The Ascent Stretch gaiters听
For colder stuff, I really think you聮d be grateful for a pair of expedition gaiters. The Brooks Ranger Overboots from ($160) are the ticket here. They completely cover your boots and have closed-cell insulation for warmth. They聮re also handy for a warm, comfy booty in camp or tent. The only downside is they really are designed for use with crampons, so if you plan on some cramponing, these are ideal. Otherwise, OR聮s more traditional Expedition Crocodiles ($90) offer a tough, functional design聴a little fuller cut than other gaiters to accommodate plastic boots and heavier pants. Very nice.
Gloves? Well, take several pairs. For cool-not-cold temps, 聮s Silkweight Windstopper Gloves ($30) are just fantastic. Amazingly warm for what are essentially un-insulated gloves. For cold weather, I like 聮s Randonee gloves ($100). These have Gore-Tex inserts, tough leather palms, and Primaloft insulation. Very warm, yet also very soft, so you have a great deal of dexterity.
I also always suggest you throw in a pair of good old-fashioned woolen gloves. Fox River聮s wool gripper gloves ($12) are great for backup gloves, to wear at night, whatever you need them for.