I moved. So, I changed my address in the AMCAS application and on every secondary online application that asked for my address. Should I do anything else, such as email schools?
Go to your local post office and fill out those address change forms. Any mail sent to your old address but has your name will be redirected to your new address.
With that you don't need to update every school, just the one you choose to attend. It's more efficient this way.