Managing Public Folders with Exchange 2013

Public folders in Exchange 2013 are now located within the mailbox databases.

You can retrieve a list of all public folders using the Get-PublicFolder cmdlet:
Get-PublicFolder -Identity "\" -Recurse

In order to create a new public folder mailbox you can use the "New-PublicFolder" cmdlet:
New-Mailbox -PublicFolder -Name "United Kingdom"
New-PublicFolder -Name HR -Mailbox "United Kingdom"

Although if you are required to move a public folder this can not be done via ECP and has to be performed via PowerShell:

Set-PublicFolder "\HR" -OverrideContentMailbox "Germany"