Odds are good that you'll be ok weather-wise. I would expect possible high winds in Oct, but snow should be light, if there's snow at all. Rhime ice is a possibility and cold conditions will be your enemy so crampons or some sort of traction device may be preferable, but not necessarily mandatory.
With that said, I remember in the late 90's that Wolf Creek opened their ski season on about Oct 10th with something like 48" so it can be hit and miss. This year is supposed to be an el nino year, though, so who knows at this point. If you have the gear for bad conditions you may want to be prepared to bring it, but also be prepared to not need it.