Parking is $5, cash only, and a limited lot. You can pay for parking inside when you buy your ticket, though, with a credit card/debit card.
The museum was great! We went here fore my husband's birthday. So many interesting films, features, and displays! I'm not a mob person in any sense, but I had lots of fun!
Make sure you bring a local or student ID for a discount. Prices are pretty high otherwise.