Idiom
warm up to somethingwarm up to (someone/something)
to begin to like or enjoy someone or something.It took a couple of days for us to warm up to each other, but now we're very good friends.Some people have warmed up to the idea of extending the school year, but many still oppose it.
Usage notes: sometimes used in the form warm someone up to something - to prepare someone so they will like something:
I think you should warm them up to the idea, and not just surprise your parents when they get here.