It depends on what you'll run on it.
LineageOS in itself is good/private.
However the GApps/GMS are not.
I'd recommend replacing GMS with MicroG if you need that for the apps you use,
which still talks to Google,
but in a minimal way.
YouTube isn't private either,
but Grayjay/NewPipe are.
Only show interest in open source software,
let the anti consumer surveillance tech companies drown.
For SearX,
checkout these random SearX redirectors:
https://github.com/demostanis/gimmeasearx
Both increase your privacy + prevent rate limits.