Hi, and welcome to the forum.

You should have little or no problem living on $60-70K per year in France - depending of course on your lifestyle - but loads of people live here on considerably less. The one catch is that you will be dependent on the exchange rates, depending on what the dollar does next.

Now, I'm not entirely sure what you're asking with regard to purchasing a house. If you're legally living in France (and THAT's the tough part), it should be no more difficult for you to buy a house than for anyone else. Just be aware that in France you don't have all the fancy financing options you (used to?) have in the US. You need a healthy down payment and the confidence of your bank to get a mortgage. Your US credit rating doesn't carry over and they won't want to see your tax returns (US or French) to verify your income.

Give a shout as other questions come up.
Cheers,
Bev