You have to visit your local DMV office and bring proof of the change.
Is there a way that I can have my replacement license sent to an alternative address rather than the address on my file?
You can seek a replacement to an alternative address by including an additional note with your application and clearly stating the alternative address. Do not include this alternative address on the form MV-44. This form must show the address that is already listed for you
Regarding online applications through MyDMV, what should I do if I don't have my documents and the request for their replacement has not yet arrived?