Firefox, Chrome and Opera are fantastic browsers in their own right, and are made even better by the wealth of extensions available in their respective stores. However, for various reasons, not all add-ons are available in the official stores, and must instead be installed manually.
Bear in mind that some extensions aren't available in the official browser stores for security reasons. Take care to only install add-ons downloaded from legitimate sources, and remember that you're doing so at your own risk.
Mozilla's browser is most amenable to add-ons installed from outside the official channels. To install an extension manually, download the XPI file, then open Firefox and select 'Add-ons' from the menu. Then simply drag and drop the downloaded file onto the list of currently available extensions, and it will be installed and enabled automatically.
Chrome extensions are a different matter entirely. A couple of years ago, Google decided to prevent users running third-party add-ons from outside the official store (in order to protect them from malware). You can still install extensions by dragging and dropping a downloaded CRX file onto the Extensions list, but it will be greyed out and you'll be unable to activate it.
Last year, Google extended this policy to the developer version of the browser, closing down that possible avenue.
If you really want to install a Chrome extension from outside the store, your best option is to use Opera, which is based on the same open source technology and also supports CRX files.
Open Opera and select 'Extensions > Manage extensions' from the menu. Drag and drop the CRX (for extensions designed for Chrome) or OEX (extensions developed for Opera) file onto the list of installed extensions.
Opera will inform you that the extension has been added from outside the official store, and tell you what data it will be able to access. If you're happy, click 'Install' and the extension will be ready to use.
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