Hello Anon
I would say no. You use a comma after And/But/So only when you want to indicate a natural pause, e.g.
1. So, you want to play for Manchester United, do you?
– the comma indicates a pause after "So".
2. I want to play football for Manchester United. But I don't like Sir Alex Ferguson, their manager. So I may play for Liverpool instead. And then I'll earn more, too.
– no natural pauses, so no need for commas.
MrP