Jdm_Ej8_Sedan

so I have a 1992 civic hatch with a b18b1 swap but the thing is, is when I start it on a cold start it turns over like 10 times then I guess sputters then finally starts but then idles at like 300ish rpms. sometimes it will die out and I have to try and start it again. but then if I start it (when it finally starts) and let it run for 3-5 minutes the idle raises to about 800 rpm and drives completely normal. I have replaced:

starter

alternator (mine was dying so figured I would replace it)

new plugs with ngk

tps sensor

and ran some injector cleaner because I thought it could have been clogged injectors

its weird because I can hear the fuel pump prime then the main relay click so I know its most likely not a fuel problem, I am just worried when winter rolls around I might be screwed. I don't want to keep throwing money into it and have no improvement.

Any ideas would be great!