Have to prime car to get it to start then if I can get it warm enough it will stay started. Help

 

This to me with very little to go on for info sounds somewhat like a Vacuum issue. One thing that happened to a friend of mine was the Vac line from the engine to the brake booster came off or had a leak in it.
I will try to attach a photo so there is a reference for you.

 

The fuel pressure regulator is located in the area around the rear of the alternator. I am assuming that because it is able to start and run that this could be something to check. also you might want to have the fuel filter replaced if it this plugged that could also cause restricted fuel from getting to the engine.

Hope that helps somewhat, it would be best if you could give some more details that may help with the issue.
Big Question is have you taken it to a Service Garage to see what they think, I have several garages I can take the car to, I usually avoid the dealership ones sometimes they aren't able to find the little things.

 

What do you have for diagnostic tools?

I'd think a fuel pressure guage and a scan tool would be where I'd start. If its taking awhile to get fuel pressure built up (since you specifically said needing to prime it), it could be the fuel pump going out. That shouldn't magically clean itself up once things get warmed up though (although I suppose it's not impossible).

Certainly FPR leaks are common as noted above, but that shouldn't be able to drain the lines so much that you need to wait for prime each time (especially since its at the top of the system). A good fuel pump should get that pressure up in the time it takes to normally turn the key. Perhaps its really hosed and dumping a ton of fuel back to tank? Again, I'd be surprised that would clear itself up after warming up though.

Bottom line is we're all just going to be guessing without getting some diagnostic info.