I am not sure if the off peak / on peak program is everywhere but we have it here in AZ and we had it in CA. You may even have the option to be on it or not. We did and I chose not to be on it because I am home all day with my kids and I have to use my big appliances during the day (I have a never ending mountain of laundry!)
Our elec. co. even checked to see which plan would be better for us. I would ask your elec co if they have the peak plan and if it would be in your best interest to use it. And if at all possible use energy star appliances, they make a huge difference! I certainly hope that this will help and good luck!