I have a made to measure pool cover brought out from UK when I bought my house. It is made from a close PVC mesh with webbing strapping tensioned into stainless steel loops to secure it. I was advised to leave the pool filled so the cover touched the surface of the water when it was installed.
Suggest you add extra shock and algaecide when you fit yours. After two seasons initial use, I no longer use mine. It did prevent some debris blowing in but the pool still required draining and full clean at the start of each year due to a couple drowned rats which had found their way into the water under its edge.
I find it easier to continue the small amount of maintenance required over the winter, keeping the pool filled, filtered and uncovered is simpler in the long run.