In English, a parent might say "I don't want to come home to a big mess." This is a similar situation where, "to come home to" a mess means "to come home and find" a mess there.
The concept of "coming home to someone" is fairly common in English, especially in poetic or romantic writing. Originally this concept comes from the traditional roles where a man might come home to see his wife after a long day at work, as opposed to coming home to an empty house. Now days, "coming home to someone" is based on the image of two people in a committed relationship; one comes home after a long day (at work, perhaps) and the other person is there waiting for them.
"You'd be so nice to come home to" means something like "it would be so nice to be able to come home and have you there."