I lived in a similar situation in Houston suburbs for a few years. The main thing to prep for there was hurricanes. You'd potentially not have electricity for a few weeks, and possibly not clean water (not that the water was ever good there), so that's what I prepared for.
Take a look at what the most likely disasters are in your area. Power out during cold? Heat? Water has a boil order? Forest fires? And prep for that. For example, forest fires you need masks and a good filter system, possibly a way to seal your windows more securely.
When you say you have food for a week, make sure that is food that you can either prepare without electricity, or that you have a safe alternative method of cooking, and that you have sufficient fuel.
And the best thing I can advise is to dry run it. Assume your biggest local risk is power outage. Try 24 hours simulated without power. You don't have to turn off the main breaker and ruin everything in your fridge...just turn off EVERYTHING you can, and don't use electric. You cannot charge your phone, you cannot run the air/heat, you cannot run a fan, you cannot do laundry, you cannot turn on lights, you have no hot water, put some painter's tape on the fridge so you don't open it (what I'd do during a short blackout to try to save things as long as possible), you cannot use the coffee maker or microwave, etc., and see what happens. You'll find out very, very quickly some of the little things you need, that can make that situation much better.