Ask HN: I want to move around Europe frequently while being employed. How?

I'm a European developer based in Germany, employed by a German company. I'd like to go around living in airbnbs and hotels for a while, but I'm concerned about my residency status since that is a requirement for employment (under favorable tax law).

Setting up a business would be an option, and I have an address somewhere else in Europe available. To other people doing this: how are you doing it?