Vectorize Logo for Laser Cutting

I have a logo that I’ll be sending over as a raster image and I need it converted into a clean, cut-ready vector for use in Xtool Creative Space. I have tried this once before but the letters have came out disformed... (Budget: $10 - $30 USD, Jobs: Adobe Illustrator, CAD/CAM, Graphic Design, Illustration, Illustrator, Logo Design, SVG, Vector Design)