You can get some of the major sources to remove you with a service like Optery [0]. Costs a few bucks, but if you let them work at it a few months you can drop the subscription and the effects will linger for a while before you start finding yourself on public databases again.

I used it myself and I have trouble finding information about myself, even with my inside knowledge. If someone is determined enough you probably can't really hide from them, especially if they have any connections to law enforcement or one of the big data sinks. But you can definitely make it harder for casuals.

[0] https://www.ycombinator.com/companies/optery