As a chance to have a different experience for you and your family i would say jump at this opportunity. It may not happen again.
But consider a few things:
How important is it to save money. If you are earning pesos, and you do manage to save some, it will be next to impossible to exchange to anything else, and even if you were told by your bank/post office that you can change them when you return the fact is you wont be able too as a few people have found out. Even countries close to argentina will not except pesos, or will, but at such a large discount that you will loss alot of the value. I meet alot of travelers in colombia earlier this year who had been in argentina and couldnt change their left over peso when they left the country at the airport/banks/exchanges houses, and tried to change in colombia, but either couldnt, or could, but at a very bad exchange rate - it has since gotten worse.
So dont count of saving any money - unless you can get part of your wages in a foreign currency. And make sure you get at least a 6 monthly review of your salary, that takes inflation into account, but not at the official rate, which is below 10% - i think inflation is probably over 30 percent - at least on food, drink, eating out etc, and most unions are getting 25% or more wage increases at the moment for their members, so it gives you an idea of what real inflation is running at.
If your job comes with accommodation, this will make life easier. You dont have to worry about rent increases, bond (which you may not get back) or a guarantor. But make sure it comes with furniture.
Get your company to provide medical insurance for you and your family- it is expensive (well for a kiwi who have fee hospitals), but have been told by a few people that medical care is good compared to other developing countries, and is pretty much on par with alot of western countries.
Make sure you bring 2 of everything need/want. Any electronics are expensive, and often it is hard to get parts, or even repaired under warranty because of all the import restrictions.
If you plan on travel around south america when in arg, you can pay for your flights with peso if purchased in arg, which are usually more expensive than paying for online. But you wont be able to spend your pesos outside of arg (with the exception or urugary) and again is hard if not impossible to purchase foreign currency in argentina.
It is also worth remembering that things are changing quickly in arg at the moment, and from what i have seen in the last year, i think are probably going to be getting alot worse in the next year - so dont count on anything being said now to be the same in a year or even 6 months time.
My biggest bitches about argentina after living here for 6 years is the ques at supermarkets/banks, the traffic and noise, the hassle of getting anything done or fixed, and now the cost of living and getting money into the country to live on without being ripped off.
However it is a very beautiful country, and diverse.