There’s a lot to be said for finding a stable job at a good place and building a career. On the other hand, moving around can be a really good strategy. You will build a network of friends and colleagues. You will gain a sense of how things are done at other places, for better and for worse. You will come to know new cities, and the reality of the people who live there.
Moving about will also make you a bit uncomfortable. It will rock your world on occasion, and ask that you measure yourself and your talents against others.
If you’re still growing where you are, stay put. If you’re dying a slow death every day, drop that job like a bad transmission. Hit the road, jack.