BTW, how many hens you have and how many eggs are you getting now?
I normally carry 10 hens over the winter. I get about 4-6 eggs per day in the winter with my hens that are under 2 years old. But that can depend on the weather, a lot, because egg production goes down to about zero if we have an extended period of -20F days, for example.
Also, I don't add any supplemental light to encourage egg laying in the winter. The short daylight hours are a big factor in the decreased egg production where I live. But I'm okay with that.
For me, winter is a time to let the chickens back off on the egg production and just use their energy to stay alive on those really cold days. Although egg production is down right now, we still get more than enough eggs for ourselves and even have excess eggs for sell to a few customers. That is enough to pay for my feed costs.
I have a mix of dual purpose and production hens. In my experience, none of them are good egg layers come their third winter. My current plan is to retire (freezer camp) all my hens after their second winter before their third, unproductive, winter.

Here is a picture of my compost processing setup...