Vectorize Cartoon Designs for Merch

I have a small collection of cartoon-style graphics saved as standard raster files (PNG/JPG). They look fine on screen, but I now need them rebuilt as clean, fully-scalable vectors for two print applications: large-format T-shirts and small sticker sheets. Because the same artwork will be resized from roughly 3 cm up to 30 cm, every edge has to stay razor-sharp and all colours must remain solid with no pixelation or unwanted gradients.

Here’s what I will hand over to you: the original raster images plus any colour references I have. Your job is to trace or redraw them in Illustrator (or an equivalent vector tool), match the existing palette exactly, preserve the fun cartoon feel, and return files that are genuinely vector—no embedded bitmaps hiding inside.

Deliverables
• AI, EPS and SVG files for each design
• A high-resolution transparent PNG preview so I can approve the result quickly
• Layers neatly organised and named so future edits are painless

Please include a few examples of past vectorisation or cartoon print work in your reply; that’s all I need to decide.