CPS or fuel pump gremlins on 99XJ?

[husker25]

I've done enough searching to narrow my choices:
Each morning my 99 XJ w/56K cranks 6-7 secs and stumbles and sputters until I accelerate out of the driveway--then it pulls strong. I've tried the wait 1-2 sec after turning the key on and I've done the key on-off thing.

The stumbling ONLY happens in the morning. After driving I shut off the jeep and it will take another 6-7 sec crankathon but will not stumle upon start-up.

*I hear the fuel pump click on and off after turning on the key.
*my fuel pump is not noisey
*there is no hesitation with 1/4 tank or less and left turns
*I've replaced the fuel pump relay in the fuse block
*my milage is a horrible 9-11mpg all city (30" tires without gears)

I hope it's the CPS=cheaper
It's probably the fuel pump=more $ and a pain
Maybe the MAP?

Either way I'm a good enough wrench to replace either and I've read up on both proceedures.

Thanks

[Saudade]

Check your IAC for the startup and your O2 for the poor mileage.

[Matthew Currie]

Have you tested the fuel injectors to see if there's one leaking or failing to close?

[husker25]

Aw, shucks. I thought I had it narrowed down so well. Good ideas. I'll have to take it in and pull some codes. Thanks again.

[Saudade]

lol.... Yep. There can be lot's of gremlins crawling around. Pulling codes is the right start. (no pun intended). ;)

[Matthew Currie]

By all means pull codes, but remember you'll get a code from an electrically defective injector, but not a mechanically defective one. If it's clogged or dribbling, it probably won't show up unless you test the injectors themselves.