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Basic Hilde Bread&Butter combos usually revolve around moxing C2B launchers into C3A. My go-to combo that you should learn is: 22B C2B (hold down G until Hilde turns around then) C3A. For playing Hilde at a more practical level I would reccomend you remap L1 as A, as this allows you to create charge combos that may be inefficient using standard layout.

If you go onto her Arena thread you can also see that you can do an infinite juggle using her C2B and her 3B (BE). This is more advanced though.

(btw the C3A should hit them during/as they finish their fall. Just saying. If you do [A+B] instead of 22B I believe it stuns them after C2B so it wont whiff and be easier to hit the C3A, but I prefer 22B due to it's damage and step.

If you're a visual learner look for some Hilde vids on youtube. Granted, they may be prepatch. But Yuuki gave great advice.