I do all of that except the chains part, never in all my years of driving (25 Years) in Colorado and now Michigan have I had the need for chains. I have always had a 4X4 or good snow car (VW bug is by far the best car I have had when it comes to snow!) and was taught how to drive in the snow when first learning.
It should be said, that all of those things should be done on a regular basis, not just for winter, every month. You owe it to yourself and others to check those things often. I would go so far as to say it is mandatory if you drive a vehicle.