About an hour and a half later, we had new springs, the cables recoiled, and the lift attached to the door again and everything is working great!!
In fact, I seem to notice that the door opener seems quieter now, which makes me think that the springs were pretty close to going for a while.
It cost about $200 to get it all taken care of, which was a bit more than we had hoped...but to be able to park in the garage again, it seems like money well spent!!!
I'm glad we were able to get it taken care of as quickly as we did. It would have sucked to have the cars outside when it starts to snow, which I'm sure will be pretty soon!!