Have a plan to relocate if necessary with supplies available, should an event be of long duration, and if you do not want to be herded like sheep into an overcrowded shelter.
The home of a friend or family member outside of your region can be your second place to go.
Have a plan with at least one backup to be able to go to your second location. Plan the routes (with backups), in general avoid major highways, and practice your plan.
Remember that a part of your journey may be on foot, so always have some good footwear for all members of your family available at all times.
Have clothing suited for the changing seasons as well. Clothing is your first line of defense against the elements.
Remember that the authorities may require you to leave, therefore have a radio handy to be able to receive all the latest news including what is expected of you. Should you need to evacuate, you'll be glad to have made advanced preparations.