cuii-blocked VS Tor

You could try downloading TOR (www.torproject.org) but some people prefer not to use it because some people think that the TOR people are (bad? cheaters?) 'not good'.

The only difference Private Relay makes to this sequence is that it hides your IP from the website you're visiting in the networking phase by acting as a proxy. This is similar to what TOR does by routing your network traffic through multiple nodes before letting it reach its final destination. This process does not hide which websites you visit from your ISP itself IF they also act as your DNS provider, which is almost universally true.

One of the solutions I've seen mentioned is effectively the TOR network on the blockchain. While this type of solution would not guarantee anonymity it would at least make it more difficult for people to "follow the money" through the network just as the TOR browser makes it difficult for the FBI to follow your web traffic.

The TOR browser (https://www.torproject.org/) will encrypt your request and send it trough three separate servers before it ends up at the destination. It's what whistleblowers use to send info to journalists.

If you need that level of online anonymity you should use a dedicated tool with a solid track record (https://www.torproject.org/, or https://geti2p.net/en/) -- both are free to use by the way.

I use the Tor Browser & launcher direct from the torproject out of preference but the torbrowser launcher is available in the repos.

Tor (probably what you're looking for)

To access onion sites, follow the documentation in the Tor Project. That will tell you everything you should know and it is relatively simple to set up.

Please consider to host the infrastructure on Tor onion services.