I watch currency rates pretty closely as I get paid in dollars and as an expat, most of my expenses are in other currencies. The real question these days is not which direction the euro will go, but how far down it will go and how quickly.
The problem is that any way it goes, the euro is likely to drop. If it implodes, it drops a lot. The only real scenario to save it involves printing lots of euros, and that in itself will drop the euros value.
I used to keep well into five figures in euros as part of my mix of currencies, but when I saw the handwriting on the wall, I started divesting myself of them. Now I have a hundred euros in cash as getting off the plane money and about five hundred in my euro denominated bank account just keeping the account open. Everything else is in Swiss francs, Norwegian kronor, British pounds, a few loonies (Canadian dollars - hard to come by over here) and yes again US dollars.
The other thing to consider is that most options to buy euros in the states involve awful exchange rates that you should avoid.
