So, what are some common standard tropes that might happen after this?
a. "Dad is worried, she should come with him" route. But she's actually living in a house with adults, unlike many other story where the adults for some convenient reasons are all gone.
b. "I don't approve you" route. But again, Taiki's parents seem like very decent adults so far. So just officially engage them and be done with it.
c. Dad is actually a tsundere.