"Modest" vs "humble": comparing two virtues

What is similar?
Both "modest" and "humble" describe qualities related to having a low view of one's importance or being unassuming. They both imply a lack of arrogance and a simple or restrained manner.
What is different?
While "modest" often refers to someone's behavior, appearance, or circumstances, suggesting moderation and propriety, "humble" more specifically refers to one's self-view or attitude, often related to humility or having a modest opinion of oneself in a straightforward manner. "Modest" can also refer to being moderate in achievements or estimations, whereas "humble" can imply a greater sense of self-awareness and meekness.
Which one is more common?

Examples of usage
Modest- She wore a modest dress to the gathering.
- His expectations are modest, given the challenges.
- The house was modest, but it was comfortable and cozy.
- Despite his success, he remains humble.
- She gave a humble apology for her mistake.
- He started from humble beginnings but worked his way up.