Usage patterns
好機を捉えるto seize a good opportunity
He seized the opportunity and launched a new business.
好機に恵まれるto be blessed with a good opportunity
I was fortunate to have the opportunity to study abroad.
〈事〉を好機としてtaking something as a good opportunity to do X
He took his retirement as an opportunity to move abroad.
Expressions
好機を逃すmiss a golden opportunity; let a chance slip by 好機逸すべからずmake hay while the sun shines; strike while the iron is hot