I'm happy with the price but Firefox randomly logs me out in private mode (maybe after an update? too infrequent to be able to spot the pattern, but it's there), which is a bit annoying.
I do almost all browsing (except for services where I need to be logged in) from private mode. For the ones where the app needs to know me, I have separate profiles (multi-account containers ftw!).
Nothing especially sensitive, I just consider it basic online hygiene.
That's what I dealt with. It seemed like roughly 50% of the time I'd have to re-auth for private browsing searches. Across multiple devices this becomes even more of a pain in the ass.
For some reason you can't just add a custom search engine url to Firefox, you need to have an extension. Kagi has one that swts up the engine and injects the token, but it sometimes breaks so I need to uninstall/install it.
Oh wow, I forgot about that. I tend to add a bookmark and then make that a search engine, but yeah, that will require you to type the bookmark's character every time. Annoying that you can just add your own engine URL.
There is this firefox extension I have used before: https://addons.mozilla.org/en-US/firefox/addon/add-custom-se.... It lets you configure a custom search engine, so you could add the Kagi token url to it, and have a logged in search engine in both regular and private browsing. Unlike the kagi extension, I haven't had issues needing to reauth when using it.
