Red is a great mountain for both intermediates and advanced skiers (assuming that it has good snow which it did when we were there last January).
Key things from our trip that we noticed (we hadn't skied Red before)
Book the Shred RED full day guide programme early on in your stay, it was ridiculously cheap ($149 for the first person $75 each subsequent for the whole day). Red is a great mountain, but there are few signposts and Red has some quirky features about it (like a band of rocks that runs around the mountain) and spending a day early on with a guide (we had Mark and he was fantastic) was invaluable, we found places we wouldn't have ventured without some insider knowledge.
Often there are some lovely warm up runs on the silverlode chair in the mornings - so we would do a couple of quick blasts on silverlode before heading on further up.
If visibility is not great at the base area it is often clear (above the clouds) over on Paradise and watching where the new lift is this year it was nearly always above the cloud level.
There is some great skiing from Red Chair which is often overlooked by many.
Paradise lodge is small but has a great fire for drying gear and is a great place to regroup if you have groups skiing different areas.
If you are planning on cooking check the hours of the supermarket - it had really odd hours around holidays which seemed to catch many people out. I think that there was a calendar posted on their door.
Have a great trip and hope you get heaps of snow