Check local golf courses and parks - I’ve lived in several states and always found that golf courses and parks frequently had groomed trails in the winter.
I suggest starting out on groomed trails first until you get comfortable and achieve some technique. You will fall down some at first, and be a little cautious as injuries are still possible. Start with short sessions and work up endurance slowly. If you aren’t used to exercising in cold weather start with short sessions.
Wear many many layers. As you warm up you will want to (and should) peel some of them off, then reapply when you cool down afterwards. Do not work up a soaking sweat, that’s a recipe for hypothermia, which is a bad thing.
Take a cellphone - if you’re injured you’ll be able to call for help rather than waiting for someone to find you.
Either go with someone, or let someone know where you’re going and when you’ll be back. This may sound like overkill if you live in an urban environment, or even suburban one, but people are less likely to be out and about in winter, and if you have to stop moving or get lost you’ll cool down dangerously quick.
Bring fluids - you are, after all, exercising and don’t want to get dehydrated.
I have had the same pair of waxless skis for… oh, gosh, 30 years now. Yes, three decades. It makes the gonzo, highly competitive types cringe but seriously, I’m just doing to have a good time, get out in the sun and air, and get a little exercise.
I second the idea of snowshoes, as well, but they are a different feel and not everyone likes them.