According to some sources, Bergamot, a project focused on providing private client-side machine translations in a web browser - and got funding from the EU -, is making a great progress on getting integrated into Firefox. Kelly Davis from Mozilla published two (1, 2) demo videos on YouTube. I really look forward to this! Google Chrome has translations, but they don't work offline and send everything to the cloud instead. Currently whenever I need to translate something, I use DeepL.
Many people use Google Chrome, because they like it's fancy syncing feature. You know, open a tab on your PC and just continue on your phone. Or because of the nice built-in password manager. Just save that damn password and it's securely stored in your Google account and available everywhere. But what about privacy? You can forget it when you use Chrome. You have no privacy there. Google can read all of your browser history, passwords and bookmarks.