Mom went out shopping at the department store.
Since my husband went out with kids, I can play Dragon Quest as much as I want.
I’m going out to the beach with my family on Sunday.
You exit but you do it with かける added to it. Just think of that かける as you exiting while being "cocky" about it. You do this when you want to go out or to leave. You go out in a cocky way!
This word can only be used for a person going out. You can't say a train 出かける'd.
Since this word consists of a kanji with hiragana attached, you can bet that it will use the kun'yomi reading. You learned this reading when you learned 出る, so if you can remember that, you should be able to remember this one too!