Can passwords be trusted by password managers? Or store passwords in a built-in notebook? It's safe?

Storing passwords in a text file is a direct route to data loss. In case of infection with some types of Trojans, they can automatically scan text documents in order to find passwords in stealth mode.

Storage in managers can be considered quite safe. However, I prefer to remember critical passwords from, say, a bank.

Browser storage is a major vulnerability if someone has access to your account, since saved passwords can be seen unencrypted in your browser settings.

No, not secure. Because access to your PC can be obtained even if you click on the link slipped by a friend.
Keep either on a piece of paper or on a flash drive. Either there and there.

My personal opinion is not.

Services that store your passwords, for synchronization and the like, create, albeit encrypted, but massive databases.

Since hacking takes time and money - its target is targeted databases.

It is easier for a hacker to hack into the server of some Last Pass - and merge all databases from there and decrypt them than to do it pointwise.

After all, even by stealing a document with your passwords - he will get access to only one virtual person - and he will spend much more money and time on it.

In addition, ordinary users rarely become the target of hacking - and such password storage services are more attract attention.

So if you want to store passwords - keep them on your computer, because as a rule - most of us constantly visit only a small number of sites, which is why the risk of infection (if you frankly do not risk it) minimal.

From the side of the Internet - you are protected by technologies pr ovider - which filters traffic and makes sure that there are no targeted attacks on its IP addresses.

So you just have to follow the basics of network hygiene