A/c blows warm air when idle, when vehicle accelerated blows cold air. what gives?

you have a problem with the heater/a/c controls there obviouly stuck on a/c you will need to strip out the control panel to see why the direction/vent , hot/cold , fan speed controls are not working , before doing this have you checked the fuses as there may be a seperate fuse for the control panel ,if this all checks out take to an a/c specialist as you dont want to mess around with a/c gasses etc

check and make sure the radiator is full of antifreeze take off the radiator cap and top off the radiator then take your hand and cover the hole where the cap goes and squeeze the top radiator hose a few times to help it go down that way if there is a air pocket somewhere it will help push it out when you thank your done top off again and replace the cap and try

I can't say much without having the actual code.
When the ac stops blowing cold at idle, the most common reason is not enough air flowing thru the radiator, or the radiator fan is not running and the only air flow is when the vehicle is moving.

Has it ever been tune up,

Hi. Anon.
It sounds like your IACV, ( Idle Air Control Valve), is bad. I would go to the parts store, if you can drive the vehicle and have them hook a scanner up to your vehicle, ( its free) and pull the codes for you. This will give you a better idea of what is happening with your engine. Hope this helps. Let me know.

No to both questions. The idle valve is only for idle control, letting in more or less air as idle conditions warrant, to keep engine at proper idle RPM. The old choke would reduce air supply on a cold engine to allow starting with a richer gas mixture. That function is taken over by the computer in injected cars by allowing longer injector pulses to give richer mixtures in cold engines. Once warm, the 02 sensor controls fuel trim through the computer.
By "accelerating itself", do you mean your idle is higher now that it's colder outside? I suppose it's possible if the idle valve is out of calibration, it might cause that. It is computer controlled, so proper diagnosis of the idle control valve requires a multimeter. The throttle position sensor should also be looked at for a high idle. Good luck.

Water level perhaps. When you hit the accelerator the water volume increases. Check your water level and make sure that your thermostat is opening and closing properly. Water level I'm thinking

replace your thermostat and flush your system

1.maybe your thermostat is no opening or closing.
2. not enough Ant-Freeze
3. Low on water

With more details on the engine i may be able to help you more. for example what is the temp reading after it idles awhile or does it blow warmewr when driving ?

This Vehicle needs an Idle air control/Idle speed motor. Good Luck