Vectorize PNG for Large Prints

I have a PNG that needs to be converted into a fully scalable Adobe Illustrator file suitable for large-format poster or flyer printing. I want the artwork to look identical in colour and layout, but with all rough edges cleaned up and every line and curve razor-sharp—no pixel fuzz when we zoom in...

(Budget: $10 - $30 USD, Jobs: Adobe Creative Cloud, Adobe Illustrator, Graphic Design, Illustration, Illustrator, Photoshop, Print Design, Vectorization)