An AWL?
I just use my thumbnail to open mine when the granddaughter locks the door. My wife uses a dime.
My favorite lockpick is a 12# sledgehammer. It never fails. For the type of door locks you're talking about, a serrated steak knife can be used. Slip it between the door and jamb, catch the bolt with the serrated teeth, then slide the bolt toward the door side until it clears the latch plate. Once you get the hang of it, it should take you no more than three seconds.