[leonhandreke]

I can't really comment on any of the courses, but taking a few months off to learn and recharge sounds like a great idea if you can afford it.

However, the problems solved at Amazon, Google and Facebook aren't necessarily more "real" than what you're solving now. Google also builds a lot of Java webapps. Sure, there are many advantages to working at these companies, but be aware that you most likely won't end up on the team that builds the algorithms for the self driving car or the machine learning powered object detection for photos.