You’ve go the picture. It’s like jogging, don’t start off by running fast until you’re warmed up. Normal oil takes about 20-30 seconds to circulate to the valves, but heavy oil in cold weather may take several minutes!!!
For smooth running you need a good spark, enough fuel and enough air to make a proper mixture. If your air filter has never been changed , I would change that too.
Cold weather typically brings out all the weak points in your car.