We are flying into Munich and will be leaving right after landing to go to Stuttgart for a couple of days (coming back to Munich later in the trip). We will need to take public transport (no car). I've done some initial searching and it appears you can't go directly from the Munich airport by train to Stuttgart but rather would take the S-bahn to Münich Hauptbahnhof and then an ICE train from there to Stuttgart. Is that the right plan or am I missing something?
Thanks for any insights you can share!