I believe you have 30 days, as in most states. Of course, it doesn't hurt to let them know immediately.
You can change your address with the DMV ;online or in person with a piece of mail with the correct address on it.
You don't notify the Secretary of State of an address change. Contact your DMV and the post office.
15 days
If its paid and beyond reporting age just notify dmv
Ten days
When selling your vehicle.
yes
You must obtain a new license showing your new address within 10 days of moving in Florida.
10 days
California DMV Cheat Sheets can be found at http://www.dmvcheatsheets.com/dmv/ca-california. Best, Josh
If you want to stop paying taxes on that vehicle I would notify them very quickly. It is to your benefit.
Sell or transfer your vehicle.