Contact the USPS to change your address to where you are moving to. You should also notify the DMV, your bank and any credit card companies of your address change.
Now is a good time to contact your cable/satellite, water, trash, gas and electric company to make an appointment to have your services turned off the day after your move. You should also make an appointment at this time to turn your services on at your new home.
Start thinking of how you are going to want your new home set up. Make sure your furniture is going to fit where you want it to go. This step can help save you money since you should not be moving anything you do not need. It is also not cost efficient to pay movers to stand around while you decide where your furniture is going to go.