Question about public transport during inauguration day

Me and my friend got tickets to see the inauguration. We are in Delaware and the initial plan is to drive to the city and find a parking garage sorta far away from the capital and either walk or Uber closer. If that is not possible, I was thinking of parking on the outskirts of the city and using DC metro to get closer. What was it like in years past when it came to transportation?

I do understand if you dislike me and others coming to see the inauguration. We just want to witness it and leave as smoothly as possible. I would greatly appreciate some tips, I respect your city and its people a great deal.