Vlad The DDG onion address is https://duckduckgogg42xjoc72x3sjasowoarfbgcmvfimaftt6twagswzczad.onion you can open it with a Browser supporting Tor, for example the Tor Browser https://www.torproject.org/download/
There are ways to automatically redirect a user accessing the page (kagi.com) with the Tor browser to the .onion address with a tag on the page. https://tor.stackexchange.com/questions/15421/redirect-to-onion-if-site-was-accessed-from-tor
Besides the benefits i already listed these are additional benefits users get by accessing a .onion service instead of the clearnet address when browsing over Tor:
Using onion services mitigates attacks that can be executed by possibly-malicious “Tor Exit Nodes” — which, though rare, are not nonexistent — and also the fact that you are using a “.onion” address demands that the person is using a TorBrowser, thereby are also mitigating:
- national web blocks
- TLS-man-in-the-middle
- SNI filters
- DNS censorship and tracking (both upon the client side, and that potentially impacting exit nodes)
- a lot of fundamental cookie-tracking and digital-fingerprinting issues
- …and a bunch of other risks to which non-Tor-browsers are prone
Here you can find documentation on how to make a webservice available over Tor, looks pretty simple for normal infrastructure at least:
https://community.torproject.org/onion-services/setup/
KagiForMe It is def not perfect to login to services while using Tor from a anonymity perspective and should be avoided if you are not trusting the service you login to to reveal your identity to law enforcement for example, but this should be clear to Tor users if they try to be as private as possible.
I still think there are many benefits of using kagi over Tor as you can use kagi fully anonymous (private email + private payment and extra subscription for Tor only use for example) and have other Tor benefits of for example your government not seeing you accessing free information (if you life in China for example), or no risk of evil DNS, and better overall privacy when browsing through many webpages