No, only the PlayStation 3 has PlayStation Home. Sorry. :(
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No the PS3 when it is connected to the Playstation Network
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PlayStation Home is exclusively on the PlayStation 3. To get it,
go under "PlayStation Network" on your PS3's menu and select the
"PlayStation Home" option - it will then download the software for
you to go on.
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No you do not need to pay for Playstation Home.
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The Playstation Home is part of the Playstation network and if
you have a PS3 with a internet connection it is available to
you