While some prefer heading straight up the lift right-of-way or one of the ridges along this route, the switchback trail from just above the lower summit lift terminus isn't a bad way to go for more consistently firm footing. It is fairly simple to find the trail head--just follow the service road above the lower lift building for a couple of switchbacks and look for the trail that proceeds up through a tree-lined ridge immediately to the East (left) of the lift. Some loose scree along this trail but overall an easier way to the top.
When I first skied and climbed Bachelor, it was called Bachelor Butte. Once the ski area grew up and started out-of-state marketing, they decided that wasn't a very glamorous sounding name, so they petitioned and got the government to change the official name to Mount Bachelor.
"After the first glass, you see things as you wish they were. After the second, you see things as they are not. Finally, you see things as they really are, which is the most horrible thing in the world."
--Oscar Wilde on Absinthe