The movie is based on a futuristic type of world (maybe out of space or not). They had a reddish looking shark creature that flies into the girl's apartment (they fly over the city and are used as weapon). The creature can live out of water. The houses/homes/apartments are suspended in the air.
The movie had a man who eventually mated with the girl and she give birth to a child who can transform into a bird/pigeon. The man can also transform.
There was a scene where the man hid in the girl's bathroom and she hid the platform of the bathroom; when the authorities came in her apartment they asked her where is her bathroom, she said she gave up showering a while back. Do you know the movie?