How do you get the animals in your house in Animal Crossing

sometimes they will ask when they could come to your house and they might come to your house unexpected on flea market days.you can't remove,move or put down furnitures when they are at your house.

Actually, sometimes animals will ask you if they can come to your house. If they are your friend and you have time, say yes. Then you will select the time that you want them to come over at. It must be at least 31 minutes after the time your game is at at the moment. Then, about 1-2 minutes before they're supposed to come over, go back to your house. They will come in about 1 minute later. They'll chat, walk around, and even rate your room. After 2 minutes they will leave.