>I have yet to find something which lets you get a good peek at that data. Does anyone know of anything?
You don't need Tor to avoid advertisers. Blocking all cookies and browsing in private mode will get you 99% of the way there. Throw in an ad-blocking VPN and there's basically nothing anyone can know about you that you aren't explicitly sharing.
This is not really true, because of how centralized the web is. From Google fonts to jquery and the million in between endpoints, most sites you visit are going to be reporting you to Google. Logging into a single identity verifying site or even just viewing a distinct set of sites can all work as instant deanonymizers.
A VPN that has multiple users using the same IP simultaneously can help on this front, but I don't know how common this is? Basically emulating how Tor exit nodes work. Though even that is also almost certainly possible to break.
You don't need Tor to avoid advertisers. Blocking all cookies and browsing in private mode will get you 99% of the way there. Throw in an ad-blocking VPN and there's basically nothing anyone can know about you that you aren't explicitly sharing.