Modern Vector Logo Creation

I already have a finished logo as a raster image and now I need it rebuilt as a true vector file in a clean, modern style. The goal is to preserve every colour and detail exactly as it appears in my current artwork while ensuring the final file scales flawlessly for print, web, and large-format use... (Budget: $10 - $30 AUD, Jobs: Adobe Creative Cloud, Adobe Illustrator, Adobe Photoshop, Graphic Design, Illustrator, Logo Design, Photoshop, Vector Design)