The thing that really changes with winter is the chain and metal parts - they rust quickly with salt and moisture. You need to clean your chain regularly (like once a week if you ride a lot) and regrease it after. With a good degreaser and a stiff brush, you remove the mud and dirt buildup, then you apply an oil suited to cold weather (more of a thin oil, not too thick). The derailleurs, the brakes, everything that moves - that's also going to get clogged up faster with wet roads and debris.
During your fall maintenance, take the chance to check your tires too. Winter creates more friction and wear, so make sure they're properly inflated and not too worn (otherwise you'll slip everywhere). A quick look at the brake pads or brake blocks, it's good to know if you need to swap them out before things get dangerous. And yeah I know it's basic but a wipe with a dry cloth after every wet ride, it honestly saves your bike - you're not letting water sit all over the place.