The start and end of the parade route seems to be quieter than other areas (i.e., in the 'Little Italy' area of Fantasyland near It's A Small World, and Town Square at the entrance to Discovery Arcade). The most popular spots, in front of the Castle, along Main Street and the Fantasyland Stage seem to attract people about 45 minutes before the parades are due to start. Personally I think this is a gross waste of time, when you can see the same parade from a less crowded area without having to stake-out your spot.
Can't help with the Studios I'm afraid.
Regards
Rob