1997 Ford Ford Contour Sport Stalls at Red light

Hello everyone. My problem is strange at least to me. The problem is that the car starts just fine but in extremely cold weather like that which we are having in Michigan it shuts off after a lil while. After the car has started it seems fine but when I shift to drive the car shakes then when I press on the gas peddle it revs for a lil while then starts moving. For a while this was the only problem. Recently the car has started to stall whenever it stops, so whenever I get to a red light or stop sign the car just shuts off and so I have to quickly turn the key to off and shift to park, I then turn it on and shift back to drive and after it revs for a lil it will start to move. Even so getting it to go 30 miles an hour requires a great amount of work. I have to lightly press on the gas peddle until I reach 30 once I reach 30-40 it seems ok and drives like normal. Just today another problem came up the car wouldn't start so I applied gas while turning the key and it started (this problem just came up and doesn't happen every time) ANY HELP would be greatly appreciated because Im only 17 low income and can't really afford another car. Thank you to anyone who is willing to help me