For many years, we would leave NY Saturday morning, arrive in Disney World Sunday afternoon, and hit our first park Monday. Last year, we changed things up a bit, leaving NY on a Monday afternoon. The traffic . . . didn't exist, it was the easiest drive I've ever had. We still got into Disney early in the afternoon the next day (Tuesday).
This year, it looks like we will be leaving here on a Thursday, and arriving in Disney on Friday afternoon. Hopefully that works out as well.