Acts chapter 10

vs 25-26
Why the big deal? Because a Jew walking into a gentile's house is a big deal. Cornelius is probably bowing because Peter is pretty much an angel to him, but for Peter this is a big deal too.

vs 27

Unsurprisingly, as Cornelius had invited them.

vs 28

And considering what evidence we have for this being a problem for Peter, you can imagine that he's probably not the most comfortable person at this very moment.

vs 29

Now, Peter has already asked the servants who brought him about this, so he's not clueless. But I guess he wants a more full story.

vs 30-33

Of course, we know the whole story, but Cornelius probably didn't fill in his servants to that extent. So now Peter, and everyone else in the house too, knows the situation.

vs 34-35

So Peter had an inkling about this before? It's not impossible, as the OT does have a fair bit to say on the subject.

vs 36

They do? Caesarea obviously isn't as far away as we think, newswise. I find it somewhat surprising that Peter says that. Although, with the diaspora of Christians, I guess it is possible that they would have heard the news in the synagogues.