Unfortunetly for those who use it, PlayStation Home will never be on the PlayStation Vita or PlayStation 4 when Sony shuts it down for the PlayStation 3 early next year.
Community managers said that they are doing this due to to "a shifting landscape." With this shut down, Sony will no longer be publishing new content for Home after November 12. After that, users have until December 3 to download any content they want. When all of that is done, it will be totally shut down on March 31, 2015. With a few months before it goes down, users will receive some free unspecified content.