Why not just use different passwords for different things. I'd recommend something like privacy.com so you can generate a bunch of one-use cc cards when doing shopping on sites you don't trust and the like.
Also don't willingly give up valuable personal information unless it's absolutely necessary, it's also not illegal to give online services outright false information (incorrect birthdates for example) which, in the event of a future data breach of that service, now at least those who would plan to benefit from your personal information might have some difficulties resetting important accs and the like.
You just gotta be smart, it's not about being powerless, HIBP and the service is just one tool to make you aware of what's out there before it gets used against you. (I would highly recommend setting up notifications for important e-mail addresses)