I do 45,000+ a year and survived last winter by avoiding the idiot driving the BMW with snowchains on non compacted slush - he had the cheek to pip me as I went past at a neck breaking speed of 12mph as opposed to his clank clank clank 5mph.
Go and see how your car behaves in a snowy car park, accelerate and turn, and see how it behaves, use the handbrake to steer, practice practice.
Its how you drive that counts, drive normally but use the engine as your brake and think much further ahead if its slippy about.
Dont worry about what is behind you - its their fault, worry about what you are likely to hit.
In a diesel, you can use the clutch to pull away without the need for the accelerator first, that way you'll gain momentum and traction.