High-Quality Logo Vectorization Needed

I already have a finished logo concept saved as a JPEG; I simply need it converted into a true, loss-less vector so it can be scaled for anything from business cards to large-format signage without a hint of pixelation... (Budget: $30 - $250 USD, Jobs: Adobe Creative Cloud, Adobe Illustrator, Design Optimization, Digital Design, Graphic Design, Logo Design, SVG, Vector Design, Vectorization)