If you really want to save money and have a choice, try to come in either late August, September, early October, early November, January, or early May.
Disney has taken away some of the better perks of staying on-site, and staying off-site can save a family hundreds if not thousands of dollars.
These rooms will offer the ability to cook some food in your own room as opposed to being forced to buy food out on every occasion.
Getting groceries for your hotel room is a great way to supplement your trip and minimize the expense of getting food in Disney for every meal.