If your client supports the NIP you should see them on your profile, in feeds and in your notifications. To claim or create badges you'd go to https://badges.page/ (don't think any client supports claiming yet).
Discussion
Thanks man! Do you have any idea which clients support it so far? I believe nostr:npub18m76awca3y37hkvuneavuw6pjj4525fw90necxmadrvjg0sdy6qsngq955 doesn’t?
I don't know about Damus sorry, no iPhone. I mostly use noStrudel on the dekstop and Amethyst on my phone. Though Amethyst mostly displays a placeholder image for badges for me when viewing profiles