I don't mean what you'd have if you had protagonist status like in the games, I mean a team that you with your personality and your situation would use if you were in the Pokemon universe.
It CAN be competitive, but most people would probably just have them as pets since usually only the most powerful trainers have a team that's any good, because in the games we're insanely lucky and very talented.
Mine would be:
A furfrou named Polly (because floofy)
Alolan Raichu named Poffin (friend shaped)
Delcatty named Daisy (named after my cat)
Nidorina that I didn't have a moonstone to evolve named Bluebell (Because I like bunnies)
Espeon named Ube (smart and cute)
And I would just live my life with my lil guys.