[ Giving the name is a way of Bela putting her trust in him and vice versa for her. She wants to do this right, to start them off in a good way and lay a foundation for a meaningful relationship. ]

Peter is his name. [ There. Now it out in the open. ] I also haven't forgotten about the house in the suburbs, and I'm still on board for that.

[ Her feelings on moving out of the hotel haven't changed since he first brought it up. ]

Paramour is a term I'm familiar with, but you'll need to pardon my ignorance on the definition of 'koibito.' It sounds like a lovely word, although I wouldn't want to adopt it if I don't understand the full meaning.