Great idea.
Some, like me, choose to have not much of one.
It takes effort to scrub your name off google. Like, you have to be trying.
Hackers are either white hat or black hat, generally.
I'm fairly decent at the white hat stuff, protection, defence, protecting from surveillance, because that's what I have to be good at to keep myself safe.
I'm not great at the black hat stuff, espionage, jailbreaking, breaking into systems without being traceable. I can do it with simple things (and have only ever done it with consent, eg, here it is, see if you can hack it.) I can definitely wreck shit if I discover something sinister, in which case I have a common law right to. If someone steals my work for example and posts it on a non-protected website, because it's my property I have a common law right to use reasonable force to retrieve it, provide I ask first and they refuse.
I rely mainly on my wits and code I write myself.
There's a whole underground where it'd cost about $500 in bitcoin to scrub a low-profile name off the net, untraceably.
I don't know how it's done, and I don't particularly care to learn, unless I had time to offer it to abuse and DV survivors for free.