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The British in Austria Team have put together a comprehensive guide on moving from the UK to Austria
BiA Moving ArticleAustria like a lot of EU countries does NOT have a Digital Nomad Visa and in order to work remotely for a non-Austrian Company/Customer you would need unrestricted access to the workplace or the ability to be self employed in Austria. Standard residency permits such as the RWR Permit, EU Blue permit or Student residency permit would not really allow this. Please don't assume you can just work remotely, speak to a professional immigration and tax consultant.
BiA GuideFor practical information related to the Withdrawal Agreement in Austria and other items the British in Austria Website is highly recommended as well as their Facebook Groups