One's own house/home, usually implying a privately owned house (as opposed to rented accommodation).
結婚を機にマイホームを建てることにした。
We decided to build our own home when we got married.
マイホーム購入のために貯金を始めた。
I started saving money to buy my own home.
賃貸よりマイホームを持つほうが落ち着くと言う人もいる。
Some people say they feel more settled owning their own home than renting.