I assume the thin ones are the ones where you need snap ring pliers for the holes.
Oh . . I thought it was the other way around!
The 'curly' clip on the right looks to be OEM or similar.
If that's the case, the old clip (on the right?) looks fine in the pic – are they damaged in some way?
As long as they spring outwards properly, I'd re-use them.
The clip on the left has rounded edges where it's been stamped out during manufacture.
If you use these, be sure to install them with those rounded edges against the cup.