Winter can be hard on cars in general bit you can prepare it best you can
Now I'm no mechanic but I know a fair bit

Cold weather is a sure fire way of finding who has a weak battery the cold affect the magic chemical reactions that make electric .. usually first cold snap there's someone out begging for jump leads... so the battery needs testing with a proprietary tester £20 ISH buys you a fairly clever box mines a bit more money but I paid about the £20 mark.a few years ago now
https://www.ebay.co.uk/itm/175845818541 ... R6Db_YHmYg
How to use
https://m.youtube.com/watch?v=iFCCF6ext ... VyIA%3D%3D
So that's the battery / alternator / starter motor tested in about 5 minutes
Worth smearing a bit of vaseline on both battery terminals whilst your at it
Next up is the cooling system
Antifreeze checks many neglect this and repairs can be very expensive (antifreeze/ coolant system cools the engine via a pump which circulates the water. Round the engine Into the cabin matrix (little radiator) to provide hot air for the cabin heater/ demister then once upto temperature the mechanical thermostat opens to let water flow through the radiator behind the front grill to keep cooling the water by forced air flow whilst driving or electric fan if stationary ... If this water solution freezes it can burst the radiator / thermostat / pump housing and in major cold snaps damage the engine block itself or push out the core plugs.....
So THIS SHOULD BE DONE WHEN THE CAR IS COLD NEVER REMOVE THE RADIATOR CAP IF THE ENGINE IS HOT ! THINK HIGH PRESSURE STEAM REMOVING THE SKIN FROM YOUR Hand ARM AND FACE I've seen it happen it's not nice and involves the specialist burns unit / skin grafts .......
There a couple of ways to test there's a hydrometer for those home brew enthusiasts... There a slightly more idiot proof galileo thermometer type think a turkey baster with floating discs or balls inside the more floating balls the better the protection the scale gives you the °c of protection or a refractometer...
https://www.ebay.co.uk/itm/165177854937 ... BM4pX7guZi
https://m.youtube.com/watch?v=eraESC1oJ ... plIA%3D%3D
https://www.ebay.co.uk/itm/385818701146 ... BM4pX7guZi
https://m.youtube.com/watch?v=AsqFELf7Y ... RvbWV0ZXIg
Colder wetter days have a good look at your tyres ideally you want a decent amount of tread well above the minimum 1.6mm and keep a eye on the pressure cooler days lower the pressure... Ideally if you ever replace your tyres look at All season tyres (live in the hills a set of winter tyres are probably a must). All seasons are a trade off but good enough in all but totally be extreme conditions.. and all decent all season / winters will carry this mark on the sidewall
Check your lights regularly and replace blown bulbs
Keep windows clean inside and out the low sun can be a nightmare and if your wipers start streaking bin them for new ones
W iper blades checked before setting off on a cold frosty morning check they are not frozen to the screen before setting off (good way to avoid needing a new £200 wiper linkage assembly. Motor turns but the wipers don't move due to being stuck then good case the rubbers snap off the wiper frames and the frames scratch the windscreen or something goes snap in the wiper assembly and they don't move again ..)
A rain X type product on the windows is good but due to some fabulously complex physics reason attracts moisture / condensation and caused issues if the glass is cold. But once warmed up with the fan heater the positives outweigh the negatives.
Don't forget the bodywork and keep lights / numberplates / reflectors clean .. a good coat of wax will help the car stay cleaner by not letting muck stick autoglym do a ceramic spray which is fast to use and shrugs muck off well for a fairly long time
And giving the car a good wash regularly when they are salting the roads is only benifficial don't forget to wash the wheel arches and underside if you can