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If you want to get alerts of your friends tweets directly from your Firefox browser, then Echofon will be your good choice. It is a Firefox add-on that can alert you whenever a friend posts a tweet on your account.
Once Echofon is installed, a small status bar button will appear, click it, add your Twitter account access details, then hit OK.
If you have many Twitter accounts, you can manage them all with Echofon. To download and get more information about Echofon, refer to this link.