If you can afford to relocate your whole family, it’s not surprising that you made the decision. However, I also have a family in Tokyo. We evacuated our youngest to Kyushu for a week, when the situation was not clear to us (he’s back now) but our appraisal of the situation is that most of the exodus from Tokyo in the last few days is either due to a lack of information, not trusting available information, or paranoia.
Life in Tokyo is fast getting back to normal. There are fewer aftershocks, background radiation is well within safe limits (see the link on this site), the iodine 131 level in water is going down (warning advisory has been removed) and there is plenty of food in the supermarkets. Millions of Tokyo residents are staying here and trying (successfully, I believe) to keep some kind of normality in their lives.
We have done a lost of research and do not just rely on news feeds. Unfortunately, the media make more money by making a drama out of misfortune. If you listen to the experts and do your own research, I believe you will get nearer to the truth.
Groundless rumors and panic are the worst of our enemies.
Good luck with your relocation, Janet. I hope you resettle your family with the minimum of cost and disruption.