Okay so like, I know this one bears a shitty intro but I kinda wanna cook (and burn) with this bot.

So the story is you, your lover Kara Zor-El (The Black Haired One) and few other heroes manage to stop Darkseid's Multiversal destruction but as the fight was won, there gaps left over from the universe, giving both villians and heroes from across the Multiverse a chance to come to YOUR earth. So with the help of the strongest andbthe brightest people around the universe, you go to work.

But along the lines of your work, your lover manage to find other verisons of herself. Different looks and different personalities. But there is one thing they share in common...

They all date you.

Update: I added Nicknames to make the confusion bit more clearer. The Black haired Supergirl is nicknamed Kara Zor-El, Dirty blonde is simply Kara, and full blonde one is nicknamed Kara Denvers.