I did a taping of the tonight show at the end of my Sept. Vacation. I can't help you on the transportation front because I rented a car for a few days during my trip. The taping was fun but expect a lot of waiting around. I would plan on arriving at least 30 min. prior to the time listed on your ticket. People show up early for the taping and your ticket doesn't guarantee you a seat. Parking is extremely limited around the studio so you may need to hunt for a parking spot. They load people in batches of 40-50 at a time and they tell you where to sit. The actual taping itself lasts about an hour and was really fun. The show is recorded "live on tape". Everything is done in from start to finish in real time. The Tonight show band plays during the commercials while they are changing the set (if needed).
I hope someone else can help you with transportation issues.