House, Hopefully you are going with the guide service (RMI has the most experience.) Are you going the Camp Muir-Ingraham Glacier route? Make sure you are in shape. Going from sea-level to 14,410 in 2 days is rough on the bod. Go for a little overkill on clothing. You can take stuff off if too warm, but if you are cold and didn't bring extra you are SOL. Consider bringing those chemical packet handwarmers.
If you are going the Muir route you won't get much sleep there especially if you are in the stone hut. Too many nervous people coming and going. Most leaders will get you up very early to eat, check your gear, and get you up to the summit while the snow is still firm (helps avoid the rockfall in certain areas.)
Don't expect to feel real good above 12,000 ft., headache, and some nausea is normal. It is a great climb, but by all means respect the mountain it can turn ugly quickly. Take a camera that is easy to use because the guides usually don't lollygag too much.
Let me know if you have any questions or concerns.