Professional Vector Redraw of Logo

I have a finished logo— a combination of text and symbol— currently only in a flat image file. I need it rebuilt from the ground up as a true, clean vector. No auto-tracing; every curve and corner must match the original proportions so it scales flawlessly for print and digital use... (Budget: €8 - €30 EUR, Jobs: Adobe Creative Cloud, Adobe Illustrator, Adobe Photoshop, Graphic Design, Illustrator, Logo Design, Photoshop, Vector Design)