Make sure to contact all service providers such as gas, electricity, telephone, TV licence, council tax, internet and water suppliers at your old property with your new address and meter readings on the day you move out. Do the same for the property you move to so you know you will be connected and billed from the day you move in.
If you have anything delivered to your home such as milk, newspapers, groceries or even regular internet orders, make sure your accounts all show your new address for the next time you need a delivery.