The canon ships, and those who are happy as they are.
So I read about the characters and their relationships. From what I read, Giggles is the popular one here. I read that Petunia was also with other guys (Though, she wasn’t happy with Disco Bear). Fun fact, the popular canon couples in the show are CuddlesXGiggles, and PetuniaXHandy.
I also read that Lumpy (In maybe one episode) was also attracted to Giggles, but it didn’t say that they dated and most episodes that involve Lumpy and Giggles together it’s usually a rivalry situation.