Mouse for After Effects

I'd always used a cheap wired mouse until mine started to die.  I asked fellow Experts and almost as one they reccomended the Logitech MX Master 3s wireless mouse:
https://www.logitech.com/en-gb/shop/p/mx-master-3s.910-006559

I must admit, I still use it in an ordinary way (don't really use the extra buttons), but it is very comfortable and the Windows application does offer configuration.  I think part of the reason I don't use the extra buttons is because I also have an Elgato stream deck which I've configured for AE and that is something I use a lot.

I'm not sure if that answers your question about precision or zooming though?

I really like the Kensington Expert Mouse Wireless Trackball ($109.99) and the Kensington Orbit® Trackball with Scroll Ring ($39.99).  But, to avoid repetative use injury over time, I mix those with the Wacom Intuos Pro S ($245.95) for both pen and the touch options (this model that I have has been replaced by a newer one) and the Logitech Anywhere 3S ($89.99).

I really like the Apple Magic Trackpad (USB‑C) - Black Multi-Touch Surface ($149.95) and I happily use the integrated one with my MacBook Pro, but I opted for the Wacom Intuos Pro S instead for my desktop.

Personally, I use a gaming mouse.

But the jumping you are referring to may be caused by the fact that AE forces you into very specific zoom values suck as 50% 100%, 200%, etc rather than allowing you to set any arbitrary zoom value you like.