CopyBlobWithNewNameToDiferentContainer.ps1

# Set Azure Storage context
$storageContext = New-AzStorageContext -StorageAccountName 'mystorageaccount' -StorageAccountKey "pleasInsertHereTheStorageAccountKey"

# Set source and destination containers
$containerName = 'container'
$newContainerName = 'newcontainer'

# Get all blobs in source container
$blobNames = Get-AzStorageBlob -Container $containername -Context $storageContext

# Iterate through all blobs
foreach ($blobName in $blobNames) {

    # Insert the function to get the new name of the blob
    # The line below generates a random name. Substitute it with your own code that assigns the new name to the blob.
    $blobNewName = [System.IO.Path]::GetRandomFileName()

    # Copy the blob from source container to new container with new name
    Start-AzStorageBlobCopy -SrcContainer $containerName -SrcBlob $blobName.Name -DestContainer $newContainerName -DestBlob $blobNewName -Context $storageContext
}