For small projects such as the one you describe, a simpler "One Stop Shop" system has been in effect since 2015. I understand there is an expansion to this rul

For small projects such as the one you describe, a simpler "One Stop Shop" system has been in effect since 2015. I understand there is an expansion to this rule coming in July 2021, that removes the need to register in multiple EU countries. (the UK is obviously excepting itself from that)