General purpose hiking gear works OK. You dont have to go out and buy the lastest hi-tech garments, use what you have to start with. Dont over-dress, but do take spare layers. There are some people who think cycling=shorts and jersey, but you have to dress for your conditions.
A lot of winter riders ditch their clipless pedals for toe clips or power clips, so they can use winter boots. Winter clipless boots are pricy.
Even std tyres should work OK, You wont find black-ice on a trail, so studs are less usefull than on the road.