Contains moderate sexual innuendo throughout. Throughout the film, many characters deliver cheeky one-liners which allude to sex.
The plot also revolves around a polyamorous universe who infatuates the entire human race through it's "tentacles" (which are later revealed to be "gentacles").
The sexual references are no different to that of a typical Futurama episode, and children are unlikely to understand much of the sex-related humour (much of which is handled quite discreetly).
There are a couple of scenes of characters sleeping with each other after sex.
A character has 4 boyfriends, 5 including Fry.