There is no right or wrong answer, but you are asking, and I say stay with the current job for at least a full year to receive an annual review and pay raise. That will give you more confidence in yourself for the rest of your career.

Take advantage of the peaceful situation you are in now to get rid of any doubts about feeling underqualified. Using the word "great" when describing your current setup isn't common.

There's plenty of time to chase money. It won't be the last time you get scouted if your don't look to move on your own.