Also, the school fees for IAA run to over 18,000 USD per child per year. They very by grade you can find the fee schedule here.Â
Amman is expensive. You might be fine if you can keep your California based salary, but those school fees if you are set on that school is a killer.
Dabouq is a very nice area. Traffic in amman is terrible. Availability of items is decent but at a high price if you want "western" items. Safety I think is fine. I never felt unsafe much as I never went out much alone, but at first the stares and cat-calls made me uncomfortable, but I learned to ignore them.
I personally felt very alone and empty life in Jordan. The social life and availability of entertainment options are much different than the USA. Language barrier was also a big deal for me. But, everyone is different.