@Andreas H
For Data transfer costs please refer to our billing page. If the App Service and Blob storage are in the same region there will not be charges for data transfer. Since the amount of data transferred would be the same then the costs would be similar.
For pricing issues you can always chat with Sales via the pricing page. You can also always create support requests to our billing and account teams for free. You can also use our pricing calculator and enter detailed information to get an estimate.
Hope this helps! Let us know if you have further questions or concerns.
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