Take the advice on the thread as a pick and mix, use what works for you and your routes.
For my two penn'orth
Multiple lights front and rear : If battery lights spare batteries for at least one set. I like a flashing & steady mix both front and rear.
A sam browne belt reflected in headlights says cyclist more than the ubiquitous builders bib. (so do pedal reflectors)
I also favour a helmet more in winter as I can put a high level set of lights up there visible over cars in traffic. The peak is also helpful for low winter sun too.
On that, sunglasses are still useful to carry as the sun is blinding more often being lower - not only for you but the people in a ton and a half + of metal too.
A buff or several will be your best friend, on your head, round your neck, to keep your nose warm (tho they get manky damp if you breathe through them). They're great over the ears as they don't cut out noise but keep those tender extremeties warm.
Layer your socks and gloves. Trainer socks, silk liners on the skin. Outer layer windproof and waterproof.
I favour a decent waterproof walking boot or shoe at a fraction of the price of bespoke winter cycling ones and no less effective. Unless you're riding cleated of course. Flats are easier to get your foot down in one fluid movement if its slippy.
I find 90++% of the time I'm fine with a warm windproof softshell & a decent underlayer or two, they have a good level of showerproofing too but I don't notice more rainy days in the winter than any other time really and run far cooler than in a winter jacket.
I don't wear lycra generally but a pair of bib longs under trousers on a very cold day is nice.
Studdy tyres really do make a difference if you're riding on ice or compacted snow.
Do a good regular mickle of the chain and keep the cogs, hubs, rims & brakes good and clean. Salt is a component killer and what you pick up from claggy slushy roads acts as a grinding paste.
Enjoy, winter is a great time to be riding.