I want better traction on ice & snow

If you're going to ride in really nasty conditions, get something to give you some additional traction. Tyre Grip is a spray that you apply to your tires. The ad says it increases traction by 300%, and that's basically true. When doing the math, no traction increased by a factor of 3 is . . . still not very much, but it is noticeably better. Carry a can and your sense of caution for the winter months.