Best way to Delhi Airport during winter morning

Hi,

I need to go from Jaipur to Delhi airport on Thursday and arrive by 11 am. What is the most direct way? I am guessing a private cab early morning would be best but I heard the Delhi expressway has a lot of fog so not sure that's a good idea 

What are other best direct options? I have 3 big suitcases and I am alone so I am hesitant to take a train since changes might take effort I wish to avoid. 

PS: Decided to go one night earlier to avoid all the doubts.