I think you need to realistically assess the potential threats. I think if you really look at the likely threats, you'll see that something as simple as a house fire or a burglary are much more likely than anything else. Smoke detectors, fire extinguisher, important documents stored somewhere fire and theft resistant (even off-site like a safe deposit) box, etc. Those should be your first step. You probably have already done that, but it's easy to get hung up on worrying about the bird flu that never comes while never preparing for more "every day" disasters.

In almost ever other case, I would think that you'd very much prefer to stay at home. You probably have a decent stockpile of food, but water is usually overlooked or understocked. One gallon per person per day. I would store at least 5 days of water, more likely 10+ days if I had the space, so roughly 30 gallons of water for your family and dogs. WalMart sells cases of three 1 gallon jugs for about $1.50 so $15 buys 30 gallons. That's roughly 270 pounds of water though, so I'd spread out my stockpile purchase. Bottled water stores almost indefinately, and even if you have to purify it, it's a better start than what you could collect from local groundwater.

Medications can be hard to stockpile, but you really need at least two weeks of meds at all times. They're one of the hardest things to replace in a disaster recovery.

As romantic as the idea seems for some reason, "bugging out" should be a last resort, especially if you have no specific destination. I've seen over and over how frustrated people get when they've evacuated then can't get back to their homes for an extended period of time. Surviving for a week with what you can throw in your car is no fun.

If you need to evacuate your home, go somewhere specific. Ideally, have a friend or relative a few hours away. If not, find a decent hotel in a nice area and keep their phone number handy. Call them as soon as you decide to leave. It's great to leave your home knowing exactly where you are going and that there will be "room at the inn" when you get there. It does wonders to prevent panic.

You really must have a checklist for evacuating your house. It's so easy to overlook something.

Make sure your relatives know how to contact you. Pick a remote friend or relative that's easy to reach and designate them as a "message center". Let everyone know that you'll call them in case of a disaster.