Car keeps stalling out when cold

Hello there. I'm hoping that someone can really help me with this problem. Recently, my car started to stall out for no reason. In the morning when I go out to my car and start it, it immediately stalls out. If I want to keep it going, I have to give it gas just so it doesn't stall out. Then after it is warm, it runs fine. I will drive it then come back home and when I put it in park it stalls out. Now, I checked the IAC. I know that if it is not working right, the engine will want to stall out when it is unplugged. But, while the engine was warm, I unplugged it and the engine didn't want to stall out. I checked all the vacuum hoses and none of them had any rot on them or any holes in them. I'm really stumped here and I don't want to really replace alot of things that don't need replacing especially if they are working fine. I've read through some forums from lincolns online. And there are some people who have had this problem with it stalling out. But, none of them have the problem where even after the car is driven and put in park, it stalls then also. The ones I have come across usually have something to do with the thermostat being broken.