Starts really bad and noisy in cold weather

I am confused.
My car starts really noisy in cold weather in the morning at first start.
After I start and leave idling for five to ten minutes, I drive the car, I push the gas pedal and nothing happen; I mean it does not go faster nor change gears as I try to accelerate it.
Then, after one or two blocks driving at very low speed, I stop and turn the engine off.
Next, with the engine off, I wait a moment and then I start the engine again and the car runs like new.

Please help me, because I need to go to work and no buses go to work place.