About the villagers entering your house or mine's...

[FairtownMayor]

They actually sometimes visit you...while you're busy...any gift they gave you?

 

[Greninja]

umm mot sure what you are trying to say but they do give you gifts if they/you visit

 

[FairtownMayor]

Bonbon actually visits me twice...i have peppy villagers who loves my house.

 

[CrazyCat42]

Yeah, I get visited a lot. I'm glad I finally realized that if I talk to them a lot they'll leave pretty quick. I'm grateful for the gift and all but if I'm in my house I'm usually working on things.

I believe the visits are a sign that you've reached the highest friendship level possible with them.