A small function to move Azure Blobs using the already available cmdlets from Az.Storage

MoveAzStorageBlob.ps1

function Move-AzStorageBlob {
    #Requires -Modules Az.Storage
    [CmdletBinding(ConfirmImpact = 'High', SupportsShouldProcess)]
    param (
        [Parameter(Mandatory)]
        [System.Object]
        $SrcBlob,
        [Parameter(Mandatory)]
        [string]
        $SrcContainer,
        [Parameter(Mandatory)]
        [string]
        $DestContainer,
        [Parameter(Mandatory)]
        [System.Object]
        $DestBlob,
        [Parameter(Mandatory)]
        [Microsoft.WindowsAzure.Commands.Storage.AzureStorageContext]
        $Context,
        [switch]
        $Force
    )
    
    begin {
        [Microsoft.WindowsAzure.Commands.Common.Storage.ResourceModel.AzureStorageBlob]$Copy = [Microsoft.WindowsAzure.Commands.Common.Storage.ResourceModel.AzureStorageBlob]$null
        if($SrcBlob -is [Microsoft.WindowsAzure.Commands.Common.Storage.ResourceModel.AzureStorageBlob]) {
            $Source = $SrcBlob.Name
        } else {
            $Source = $SrcBlob.ToString()
        }

        if($DestBlob -is [Microsoft.WindowsAzure.Commands.Common.Storage.ResourceModel.AzureStorageBlob]) {
            $Destination = $DestBlob.Name
        } else {
            $Destination = $DestBlob.ToString()
        }
    }
    
    process {
        $Copy = Copy-AzStorageBlob -SrcBlob $Source -SrcContainer $SrcContainer -DestContainer $DestContainer -DestBlob $Destination -Context $Context -Verbose:$VerbosePreference -Force:$Force -Confirm:$ConfirmPreference
        if ($Copy -and ($Force -or $PSCmdlet.ShouldProcess($Source, 'Remove-AzStorageBlob'))) {
            Remove-AzStorageBlob -Blob $Source -Container $SrcContainer -Context $Context -Verbose:$VerbosePreference -Force:$Force -Confirm:$ConfirmPreference
        }
    }
    
    end {
        $Copy
    }
}