I had the same revelation during my first year with chickens. It felt very odd to be buying eggs at the store during that first winter when mine were so much richer and more nutritious. I looked into ways to preserve eggs for use over the winter and found three good solutions:
- Freeze drying- requires an expensive machine ($1,000+), but very effective
- Freezing- uses valuable freezer space, but fine if you have the space
- Water-glassing- an old, inexpensive, pre-electrical technique that stores whole eggs in a container under water with a specific type of calcium that protects them from the elements. I've been doing this for the last 5 or 6 years.
One downside, which I don't mind: All three solutions are really only good for scrambled eggs, which is fine for baking or eating as scrambled eggs/omeletes. No hard-boiled or sunny-side up eggs in the winter...
If you are curious about water-glassing, there is a
master thread on the topic. The video in the first post will do a good job of showing you the idea and the rest of the thread has plenty of discussions and questions/answers.