Fed Ex is much, much better. The few times I've filed claims with them, they've covered it. I have NEVER successfully filed a claim with UPS.
Once, when I had my computer business, I ordered a 19" CRT from my supplier. It arrived with all of the other parts I ordered. I built the computer, and shipped the whole thing off to my customer. When it arrived, the monitor was toast. I filed a claim with UPS. They told me I had packaged the monitor insufficiently (their standard claim). It was in the FACTORY packaging AND inside of another box! That's when I dropped UPS and started using DHL and Fed Ex.