Can you give me more information on the way to use VPN for android devices, smartphones for example. I have not yet known how to stay private when browsing on mobile. There is no private browsers on mobile as far as I know (I might miscatch something).

There are so many good privacy browsers for mobiles.
 firefox for example has a mobile only privacy version called firefox focus.

You also have tor as mentioned above.

'Don't use Google search' — I just can't find the fluidity that Google search has, to other search engines.

Try Duckduckgo. I'm not sure what kind of fluidity you're seeking here but it's clear that thing is built from collecting hundreds of petabytes of users data.

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IIRC Opera Mini already supports VPN (or at least a built-in proxy). Good enough as long as you don't use it for risky activities such as logging on your web wallet.

Searx and Qwant also good alternative since DDF result is terrible for non-english keyword

I've always thought that android was developed by Google. To the tech experts, is it possible to uninstall the google version on our android phones and install it with the LineageOS as mentioned in the article?

Is anyone here have done this before?

Unfortunately my new phone is not supported (a30) in this list.
Maybe I will install in my old one just for testing purposes.

But let me ask. You said there was a risk and it may brick the phone. But can't you just  factory reset the phone to fix it?

When your phone is hard bricked, it can't boot, doing factory reset is next thing.

Just because an app is from outside the play store doesn't automatically mean it is untrustworthy, and similarly, just because an app is from inside the play store doesn't make it safe.

Google are pretty bad at screening apps before they are published on the play store, and we frequently see apps with either malware hidden in them or apps designed to mimic another (such as a fake wallet app) showing up and being downloaded. There was a user on here a while ago who had their seed stolen because they installed a custom keyboard app from the play store, which recorded everything they typed and sent it back to the scammer who developed it. Similarly, if I'm installing Electrum (for example), and choose to download and install the APK myself from electrum.org, that doesn't automatically mean it's more likely to be malicious.

The better advice is to not install any app unless you absolutely must. Apps which give you sparkly keyboards, or fancy wall papers, or silly mobile games, are completely unncessary. One of the top apps on the Google play store right now is an app that takes a photo of your face and makes you look like an elf. Completely pointless, and every additional app you download and give permission to is an additional security risk.