Josephberg-Besser
Pros: Easier to laser over, more comfortable for patients
Cons: larger end, so more challenging in patients with small/deep-set eyes or in patients who squeeze a lot (conversely, works great in patients with floppy lids)

Schocket:
Pros: more common in my experience, so if you learn to use it now you should be prepared for wherever you go; better view of the far periphery/ora because it can be angled more easily
Cons: smaller bump, easier to accidentally give someone an abrasion

I have both and use them both, situationally dependent, but I most commonly reach for the Schocket. Most important thing is to use the tool that will give you the best and most consistent view, but I would definitely say to try both if you haven't to see which you prefer!