Complex sentence: He serenades her, but the butler sends the family's bulldog named Grobo after him--but after outwitting Grobo, Butch makes it into the apartment to dance with his new love.
Split into simpler sentences: He serenades her, but the butler sends the family's bulldog named Grobo after him. With Grobo and the butler out of the way, Butch makes it into the apartment to dance with his new love.