How do I display the latest Unicode characters (esp. emoji) in Windows browsers?

None of my browsers (Firefox, Chrome, IE) display characters for Unicode 7, 8, 9 (or 10) emojis:

These are often sent to me by people on phones. Unicode 6 characters are supported, but hard to read/differentiate:

How do I add support for these characters to a Windows 7 system? Is there a way to display them the way Android does, so they are easier to read?