Gonna buck the trend here and say sticking with one for a while is utterly fine and good. Lots of the good rich stuff in chptune starts happening when you get really familiar with your system and push it. I've heard such amazing tunes for so many devices that I think it honestly doesn't matter as much WHAT you choose; it's more important to stick around with it.
Gameboy sound is great with 2 pulse channels, a 2-in-1 sample channel and a pretty capable noise channel. Can be hard for beginners to make satisfying 4-channel tunes but it's not like a 3 or even 2 situation where you really need to have the tricks. And it can sound really, really good.
Only thing is that LSDJ is kind of idiosyncratic and can be weird for a beginner. There's a lot of scrubbing through screens and menu-diving, so things can feel hidden. When I started learning I was also tracking .xm's on pc in Milkytracker, where everything is laid out in front of you and you can really see how trackers work. You can also download loads of classic chiptunes from masters on the mod archive and see how all of their tricks work, which you can bring over to the gameboy. Classic 4-channel chiptune .mod's are a great complement to learning LSDJ, I think.
TL;DR, my advice? If you have a gameboy and like how GB sounds, get LSDJ and freaking go for it, and maybe choose a more conventional tracker (I suggest milky of course......) on pc, which will help make things more clear.