'88 gxl confirm my suspected issue
 

Starts when cold. But if it isn't completely up to operating temp and I shut it down, it'll flood. And we all know how much fun that can be.

If I push/pull start it, it starts great.

I suspect it's in need of a rebuild due to bad apex seals and in turn low compression.

When on a cold start the car won't idle, without me keeping my foot on the pedal. When warmed up it idles right at 750-800rpm, but idles rough

The car is bone stock... For now

Compression test it yet?
and when was the last time your injectors were serviced..professionally,and not by Crap in a can!

No compression test yet(I'm in Cancun).

I've never had them serviced, but I've only had the car for a month or less.

Forgot to add that the car only has 90k on it, but it has spent sometime here in Minnesota. Which means a lot of sub freezing starts.

I had the same problem before but it turned out to be the diaphragm inside the oem fpr... It would leak fluid. Once it was warm from the vacume nipple on the fpr....
I replaced the fpr with an aeromotive. Rewired my pump to a relay now its flawles.

When I get home ill have to check the fpr. It's very soon to either getting a rebuild or
A rebuilt engine, but its always easier when you drop in a new motor if everything was working correctly before.

The Fc's don't have a fuel pump relay??? Really?

I added it to the wires behind the rear strut driver side.
To give more amps
It's a very comon mod

it does have a fuel pump relay right of the brake peddle if you look up but your problem might be behind the alternator theirs a sensor that has a green plug that is not a temp sensor it controls the ground of the injectors I had the same problem it cost about 100 to 120 bucks then you wont have to put a dumb a@@ switch that's what every one recommends for some reason not knowing that will fry up a certain resister in the ecm happen to me so I know first hand

Sounds like bad injector seals or leaky injectors. Or you may have a low compression motor that does not like to start warm. And also your thermowax may be acting up. And from your rough idle description possibly a vacuum leak.