My parents 爸媽

Their hobby is playing Mahjong(麻將). They always play Mahjong after work.
他們的嗜好是打麻將 ，他們總是在下班後打麻將。
It's interesting that their partners are neighbors.
有趣的是，他們的麻將夥伴是附近的鄰居，
Mahjong needs four people to play. If someone is too busy to enjoy it, they will try their damn hardest to call their friends to come and play fill up.
麻將要四個人才能玩，如果有人太忙無法加入，他們會拼命打電話給其他朋友，
Last year, my parents persuaded me to move out my small room.
去年，我爸媽說服我讓出我的小房間，
They decided to make my room become the Mahjong center. room. I thank it is OK. No big deal, I could can sleep with my older sisters.
他們決定把我的房間變成打麻將專用房，我覺得沒關係，我可以跟我姐姐一起睡。
In the Mahjong room, my Mom had also prepared a small refridge put in.
媽媽還準備了一個小冰箱放在麻將房，
Actually, my parents don't like to travelling around. All they only need is Mahjong.
其實，他們很不喜歡出去玩（旅遊），他們只要有麻將就夠了。
Every weekend is their happy time of happiness. Besides, out neighbors are get along very well  with us.
每個周末是他們的快樂時間，此外，鄰居跟我們相處得很好，
if they don't play Mahjong, they will chat a whole for the entire day.
如果他們不打麻將，他們也會一起聊天。
While As I was am typing this essay, article, my Mom went mother ran off to my neighbor's house to gossip/chat.
當我在打這邊文章的時候，我媽就跑去跟鄰居聊天了。

Not bad at all.  However, you need to write a bit more casually since your essay has a happy-go-lucky tone to it.
(This is my first time to write in Chinese&English paragraph.)