There are a lot of people who get into game development because they love the potential "fame and/or fortune" aspect, but they never attain either, because they don't really love the game development part.
To make a name for yourself, you have to make quality games that people want to play. This requires months, if not years of strenuous development, and that requires someone who really loves the process as much as the end result.
I've known a few people in my career who went through college, pushed their way into the industry .... and then discovered they hate game industry because it isn't what they expected.
One decided to go into landscaping and floral design, another into music education, another into industrial design.
They realized the need to follow their passions or face misery for their entire adult life.
Assuming you are interested in writing software --- which is a prerequisite for programming games --- learn how to write software well.
Since you are still learning, it is easier to learn on the PC. You don't need to deal with emulators, transferring files to devices, different device firmwares, incompatible devices, etc. For your initial learning, it is easiest on the PC.
Once you know what you are doing and have the skills necessary to write software well, then make the transition over to mobile. You will still have plenty to learn when making that migration over from PC to mobile that you don't want to also be fighting against