How to link Skype account to Microsoft account and Facebook
You can now sign in Skype with your Microsoft account (formerly Windows Live ID), Facebook account, and see presence as well as send and receive IM messages from your friends who are using Messenger, Xbox, Hotmail or Outlook.com.
Recommended reading: How to unlink Skype and Microsoft or Facebook accounts
Step 1. Download and install the Skype for Windows (or download Skype for Windows Portable)
You choose sign in with Microsoft account or Facebook account
Step 2. Signed in with your Microsoft account to the application
Step 3. A dialogue appears asking if you’d like to link your existing Skype account with the Microsoft account, and you selected yes and entered your Microsoft account details
Step 4. The Skype account and Microsoft account is linked.