Cannot set up Office365 Home Premium Outlook to connect to Outlook.com

I am looking for help to access mail hosted on Outlook.com using Outlook 2013 (Office 365 Home Premium v15.0.4535.1511).

My email address/Microsoft Account is not an Outlook.com, Live.com or Hotmail.com address - it is my own domain, something like <*** Email address is removed for privacy ***>.  I can reach my account successfully from my Nokia Lumia 920 and Windows Mail on my Lenovo Thinkpad 2 (Win8), but not from the "full" Outlook client on the Lenovo Thinkpad 2 (Win8) or a Windows 7 laptop (O365 HP also).

I have tried the following (unsuccessfully) to get Outlook to connect to Outlook.com:

1. Select File->Add Account
2. Select "Manual setup or additional server types"
3. Select "Outlook.com or Exchange ActiveSync compatible service"
4. Enter Name, Email Address, Mail Server, User Name, Password
   1. Email address is something like <*** Email address is removed for privacy ***>
   2. Password is my Microsoft Account password
   3. For the Mail Server I tried "m.hotmail.com" and "dub-m.hotmail.com" - my Lumia 920 uses the latter successfully (I think it is a Dublin server)
   4. User Name is therefore also <*** Email address is removed for privacy ***>

The test to access the account fails with the following error: "Log onto Exchange ActiveSync mail server (EAS): The username or password you entered isn't working. Please try typing them again."

Please can someone help.

Thanks