When I first started reading Chowhound, I saw a post about storing strawberries in glass jars. I've been doing that with mixed results. I almost always buy my berries at a farmer's market and they are really super sweet, with barely any white caps. I let them air dry on a paper towel before I put them in a jar and then into the fridge. But almost always, there is condensation in the jar and the berries don't last very long, just a few days before they start to mold. I usually put a paper towel on top of the berries to absorb the moisture but that doesn't work.
I'm almost tempted to just keep them in the plastic basket they come in and skip the jar method (which takes up more room anyway).