It is a rental house, where I live with three rooms. The living room is big and nice but the kitchen is very small. There is a small garden behind the house.
First, a correction. You do not live with three rooms (perhaps three roommates). Your house has three rooms.
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First, a correction. You do not live with three rooms (perhaps three roommates). Your house has three rooms. (Is this correct? You do not have at least four: living room, kitchen, bedroom, bathroom?)
So, to simply correct what you said:
I live in a rental house with three rooms. The living room is big and nice but the kitchen is very small. There is also a small garden