to begin to feel at home in a new place
settle down
to let someone stay in your house for the night
put sb up
to destroy a building
pull down
to allow someone to enter a house, a room etc.
let sb in
to leave your old house
move out
to get money from someone who lives in a house that belongs to you
rent out
to start to live in a new house
move in
invite someone to your house
ask sb over
to allow someone to leave a house, a room etc.
let sb out
to visit someone, usually for a short time
drop in on sb