I'm not sure why you need customer service from Google. I am not giving them any money so all I expect is tech help and I can usually find it. I probably don't understand how Google contributed you your recent fraud.
If you had Google as a home page for your browser and are going to change it...
I use a blank page as my hope page. That means I initiate things by clicking on a bookmark or some kind of search. In the past, my bookmarks toolbar got cluttered so I exported all my bookmarks, used a text editor to trim them and had a local HTML file with sites I visited often. I made that file my home page for a while.
I have gravitated towards Duck Duck Go as my default search engine and sometimes make it my default home page.
In general, though, I don't have my browser push information at me. When I open a browser it is because I want something specific and so a blank home page works fine since I will click on the site I want anyway.