You'd never believe I used some old clothes line to remove the original badges would you?
I had to T-cut away the shadows left by the old badges, but that also removed any polish so the new badges went on securely. I used masking tape and a flexible rule to line up the "Tuscani" badge in the same relative position as the untouched "SE".
Then I gave the whole area a good wax polish to re-seal the areas I'd T-cut. Then I gave the whole car a wash & wax. Then it rained (so the old ritual rain dance is still effective!)