Vectorize Logo for Print & Embroidery

I already have the design in PDF format and I’m happy with its overall look—I just need it rebuilt as a true vector so it can scale from tiny business-card size all the way up to an embroidery hoop without a single jagged pixel. Your focus will be on sharpening the text and lettering while also smoothing every shape, line, and edge. Please keep the layout, colours and proportions intact; the brief is essentially a careful cleanup rather than a redesign. When you’re done I’d like the master file in AI or EPS, plus an SVG and a high-res transparent PNG, and PDF for quick previews. The vector should hold up perfectly in Adobe Illustrator and be ready for digitising on common embroidery software. If anything in the artwork looks as though it might not stitch cleanly, flag it before final delivery so we can tweak it together. That’s the entire scope—precise, tidy, endlessly scalable artwork that mirrors the current logo but looks flawless at any size.