Just did a quick browse over that and it does not give any time-table for a renewal or an address change. It just states that you must notify your local dept. within 30 days when an address change occurs.
I'm sure they will call you when your new license is ready for pickup.
Until then your keep your current license, it's still valid.
I'd guess about 2-3 weeks turn around from what I hear from others. +/- a week.