Good luck with your new adventure! And when you have time, I know many readers -- including me -- would enjoy hearing about your experiences with the planning and execution of your move as well as your experiences once you settle in.
You've picked a good time to experience Cozumel's weather at its best as well as its worst. October in particular is my personal least favorite month because of the mugginess especially. But once that first 'norte' -- called a cold front in the US -- arrives, the heat and humidity break and you have the most gorgeous weather the world can provide, in my opinion. In the past five or so years the nortes have been arriving earlier than they used to -- early to mid November. And then in comes lovely temperate weather with balmy skies and softer sunshine.
Spanning the season of 'septhambre y octhambre', locally so called because business is at its slowest and a lot of people have hambre -- hunger -- and then moving into high season is the great way to get a realistic idea of long term living here.
You are renting a house in town?