I have three MCs so here goes. First, I know they would raid my fridge because of course when you live in a pre-fridge world, stored food is a luxury, I guess. While I'm stuck planning a grocery list, here's what each of them would do.
Birger: Complain about how my room is a mess (despite it being clean by my standards) and chastise me for the lack of vegetables and fruits in my diet.
Arjana: Explore my house like all pre-teens and possibly open the boxes examining my collectable Nier Automata figurines.
Izzimar: Be right behind Arjana examining the house trying to get familiar with it because of his blindness. While knocking stuff over.
Anyway, going out for groceries!