Are you hitting "New Identity" in the Tor browser, removing all cookies/sessions and creating a new circuit for each search?
In that case I guess there is not too much they can deduce aside from the type of device (desktop, mobile).
But of course, if you make more search queries without hitting "New Identity", they can piece together a lot more than that, including exactly who you are with enough time between new identities.
If you're going so far, you can use Kagi from Tor as well. There is even a Hidden Service for it [1], so you don't even need to hit the clear web at any point.
If you're concerned about tying your credit card information to your searches, you can just use a prepaid debit card or crypto to pay [2].
>If you're going so far, you can use Kagi from Tor as well.
I have to remind you we're talking about preventing Kagi or Google from tracking you. This suggestion makes no sense when you're forced to sign-in to Kagi to use it meaningfully as your default search engine anyway no matter where you're connecting from.
Your first two paragraphs describe a use case that is way more convenient than your last paragraph, and most crypto wallets have most likely come into contact with exchanges that have the user's kyc data to begin with.
In that case I guess there is not too much they can deduce aside from the type of device (desktop, mobile).
But of course, if you make more search queries without hitting "New Identity", they can piece together a lot more than that, including exactly who you are with enough time between new identities.
If you're going so far, you can use Kagi from Tor as well. There is even a Hidden Service for it [1], so you don't even need to hit the clear web at any point.
If you're concerned about tying your credit card information to your searches, you can just use a prepaid debit card or crypto to pay [2].
[1]: http://kagi2pv5bdcxxqla5itjzje2cgdccuwept5ub6patvmvn3qgmgjd6...
[2]: https://help.kagi.com/kagi/plans/payment-methods.html