The trailer park Bender and his son flee from, Basura Blanca, is Spanish for "white trash."
Bender says he inherited his arm software from his mother. In "Xmas Story" (1999), Bender received an Xmas card containing a picture of his mother, showing that she is an automated robotic arm, normally found in assembly lines. Whether or not she was ever programmed to bend is never discussed.
The Teen Center, where the crew goes to learn about "The Bots and the Bees", is named "The Rosie D. and Robbie T. Robot Teen Center". Robby (as spelled in the 1951 movie) is the robot in the movie The Forbidden Planet and Rosie was the robot on the television series The Jetsons.
This episode takes place in 3012.