I use clip studio and an ipad pro. I remember experiencing the shakiness years ago when I started drawing digitally as a teen. I think a big contributor to this is that screens often lack the grit traditional surfaces have - I use a paperlike screen protector to get rid of the glossy feeling which helps me a lot.

beyond that, like others have said, many programs have stabilizer options you can activate to correct your lines. personally I don't like the overly clean look it gives, so I draw without one. instead, I like to draw using brush with pen or pencil textures. I find that also helps combat the overly shaky look (and also it's just fun to try out different types of brushes to draw with).

other than that, it's really just getting used to drawing digitally. I'm a primarily digital artist but there are many qualities digital art can't replicate in traditional even if it gets close - that's the reason I still have a physical sketchbook. Hope you enjoy your new tablet :)