Hey Francesco!

For logging in and signing events - If you want to use the extension in mobile, it's not possible.... yet! We are working on an extension to Firefox mobile.

For receiving zaps - yes, you should be able to set up your LN address in most mobile client

For sending zaps - depends on the client! Many already support #NWC ( @Amethyst, @Yana) and you can connect your Alby Account to enjoy your wallet on nostr!

let us know if that answers