Weight gain after stopping is a serious problem among active cyclists. Cycling for any distance or at a good clip burns lots of calories, and we get into the habit if eating accordingly. It's hard to change when we stop, but w have o find a way.
As others have pointed out, there are some winter sports that burn fuel, and there's always the option of indoor training, but in my experience, there's not many options that burn as much fuel daily as cycling. Some things burn it faster, such as X-country skiing, but we don't tend to do these as long.
I suggest you find whatever you can to burn fuel and maintain fitness, but also pay attention to the diet side. Cut back on large meals (especially dinner) to help shrink your stomach a bit, and learn to like zero calorie fillers like celery and carrots. Also 2 cups of broth or a lite soup before a meal will fill you and cut down on hoe much you'll eat at mealtime.
I ride year round, but not as much in the winter. I've had to cut back on pizza, cookies, ice cream, and double size meals, but I don't have o cut it out, and manage to stay within my weight band.
BTW- one less known way to burn fuel is to intentionally stay cool. Underdress whn you go out, and keep the thermostat low. In a short while you'll acclimate to the cooler surroundings by burning more fuel, and you won't be uncomfortable. I let my house temp drop by about one degree a week in the late fall, until 64° where I keep it all winter. (Deb stays in Cozumel) This saves heating fuel, and I make up for it by not aging as much weight. It's like getting paid by Con Ed to stay fit.
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WARNING, I'm from New York. Thin skinned people should maintain safe distance.