Actually, your fuel pressure readings are spot-on. The pressure with key on engine off should be between 35-45 PSI, and with engine running 30-40 PSI. I replaced my fuel pressure regulator some time back because it was stuck and causing pressure upwards of 60 PSI (big time cause of my rich CEL codes), but with the new one in place my idling fuel pressure is right at 32 PSI.
I should also mention that, on occasion when I'm trying to check my fuel pressure, the gauge doesn't register the first time out. I've never been quite sure why, but it has happened. Just because it reads zero doesn't mean the pump isn't priming...in my case it was because the connection just didn't work the first time. Odd, but true.
How about you start with replacing the fuel filter, and see how it goes from there. A filter with 110K miles on it will almost certainly be clogged with gunk, and could eventually cause the demise of the fuel pump from overworking.
The one time I've changed a fuel pump wasn't on a CV at all, but a Chevy full-size K1500 Blazer. In that case I replaced the entire sending unit because the metal lines broke off when I tried to unscrew them. Most of the time there's no reason to replace the entire assembly unless it's damaged in some way.
2005 Grand Marquis LS, 104K miles
2000 CVPI, 229K miles (Sold)