Hi CJ.
I thought I knew exactly where Peevy's was but I wanted to find my Studio park map before I posted. Well I have the map in front of me now so here goes.
When you enter the park go straight down Hollywood Blvd toward the big wizard hat. Take the first left, right after Mickey's of Hollywood and just before Keystone Clothiers. Take an immediate right and Peevy's is right there.
There is a great Streetmosphere show in this same area with [I believe] The Hollywood Water Company. If you can be sure to catch this show, it is hilarious