Images to Production Vectors

I have several PNG/JPG designs for my running brand that now need to be reproduced cleanly for manufacturing. They’ll appear on T-shirts, other running apparel, and jackets, so the artwork must hold up when screen-printed at various sizes and on different fabrics... (Budget: $20 - $100 AUD, Jobs: Adobe Illustrator, Graphic Design, Illustration, Illustrator, Logo Design, Manufacturing Design, Photoshop, SVG, Vector Design)